@article {786,
	title = {Basin Entropy and Wada Property of Magnetic Field Line Escape in Toroidal Plasmas with Reversed Shear},
	journal = {International Journal of Bifurcation and Chaos},
	volume = {33},
	year = {2023},
	month = {Jan-07-2023},
	chapter = {2330022},
	issn = {0218-1274},
	doi = {10.1142/S0218127423300227},
	url = {https://www.worldscientific.com/doi/10.1142/S0218127423300227https://www.worldscientific.com/doi/pdf/10.1142/S0218127423300227},
	author = {Haerter, P. and de Souza, L. C. and Mathias, A. C. and Viana, R. L. and Caldas, I. L.}
}
@article {784,
	title = {Chaotic dynamics in memristive circuits},
	journal = {Revista Brasileira de Ensino de F{\'\i}sica},
	volume = {45},
	year = {2023},
	month = {Jan-01-2023},
	chapter = {e20230116},
	issn = {1806-1117},
	doi = {10.1590/1806-9126-rbef-2023-0116},
	url = {http://www.scielo.br/scielo.php?script=sci_arttext\&pid=S1806-11172023000100450\&tlng=enhttp://www.scielo.br/scielo.php?script=sci_pdf\&pid=S1806-11172023000100450\&tlng=en},
	author = {Iarosz, Kelly C. and Gabrick, Enrique C. and Trobia, Jos{\'e} and Borges, Rafael R. and Protachevicz, Paulo R. and Bonetti, Robson C. and de Souza, Silvio L.T. and Batista, Gabriel L. and Szezech Jr., Jos{\'e} D. and Caldas, Iber{\^e} L. and Batista, Antonio M.}
}
@article {769,
	title = {Chaotic saddles and interior crises in a dissipative nontwist system},
	journal = {Physical Review E},
	volume = {107},
	year = {2023},
	month = {Jan-02-2023},
	issn = {2470-0045},
	doi = {10.1103/PhysRevE.107.024216},
	url = {https://link.aps.org/doi/10.1103/PhysRevE.107.024216http://harvest.aps.org/v2/journals/articles/10.1103/PhysRevE.107.024216/fulltexthttps://link.aps.org/article/10.1103/PhysRevE.107.024216},
	author = {Simile Baroni, R. and de Carvalho, R. Egydio and Caldas, I. L. and Viana, R. L. and Morrison, P. J.}
}
@article {807,
	title = {The Roles of Potassium and Calcium Currents in the Bistable Firing Transition},
	journal = {Brain Sciences},
	volume = {13},
	year = {2023},
	month = {Jan-09-2023},
	pages = {1347},
	chapter = {1347},
	doi = {10.3390/brainsci13091347},
	url = {https://www.mdpi.com/2076-3425/13/9/1347},
	author = {Borges, F. S. and Protachevicz, P. R. and Souza, Diogo L. M. and Bittencourt, C. F. and Gabrick, E. C. and Bentivoglio, L. E. and Szezech, J. D. and Batista, A. M. and Caldas, I. L. and Dura-Bernal, S. and Pena, R. F. O.}
}
@article {767,
	title = {Unpredictability in seasonal infectious diseases spread},
	journal = {Chaos, Solitons \& Fractals},
	volume = {166},
	year = {2023},
	month = {Jan-01-2023},
	pages = {113001},
	issn = {09600779},
	doi = {10.1016/j.chaos.2022.113001},
	url = {https://linkinghub.elsevier.com/retrieve/pii/S0960077922011808},
	author = {Gabrick, E. C. and Sayari, E. and Protachevicz, P. R. and Szezech, J. D. and Iarosz, K. C. and de Souza, S. L.T. and Almeida, A. C.L. and Viana, R. L. and Caldas, I. L. and Batista, A. M.}
}
@article {745,
	title = {Control attenuation and temporary immunity in a cellular automata SEIR epidemic model},
	journal = {Chaos, Solitons \& Fractals},
	volume = {155},
	year = {2022},
	pages = {111784},
	issn = {09600779},
	doi = {10.1016/j.chaos.2021.111784},
	url = {https://linkinghub.elsevier.com/retrieve/pii/S0960077921011371},
	author = {Mugnaine, Michele and Gabrick, Enrique C. and Protachevicz, Paulo R. and Iarosz, Kelly C. and de Souza, Silvio L.T. and Almeida, Alexandre C.L. and Batista, Antonio M. and Caldas, {\^e} L. and Szezech Jr, {\'e} D. and Viana, Ricardo L.}
}
@article {751,
	title = {On the dynamical behaviour of a glucose-insulin model},
	journal = {Chaos, Solitons \& Fractals},
	volume = {155},
	year = {2022},
	pages = {111753},
	issn = {09600779},
	doi = {10.1016/j.chaos.2021.111753},
	url = {https://linkinghub.elsevier.com/retrieve/pii/S0960077921011073},
	author = {Trobia, J. and de Souza, S. L.T. and dos Santos, M. A. and Szezech, J. D. and Batista, A. M. and Borges, R. R. and Pereira, Leandro da S. and Protachevicz, P. R. and Caldas, I. L. and Iarosz, Kelly C.}
}
@article {748,
	title = {Effect of two vaccine doses in the SEIR epidemic model using a stochastic cellular automaton},
	journal = {Physica A: Statistical Mechanics and its Applications},
	volume = {597},
	year = {2022},
	pages = {127258},
	issn = {03784371},
	doi = {10.1016/j.physa.2022.127258},
	url = {https://linkinghub.elsevier.com/retrieve/pii/S0378437122002278},
	author = {Gabrick, E. C. and Protachevicz, P. R. and Batista, A. M. and Iarosz, K. C. and de Souza, S. L.T. and Almeida, A. C.L. and Szezech, J. D. and Mugnaine, M. and Caldas, I. L.}
}
@article {766,
	title = {Internal energy exchanges and chaotic dynamics in an intrinsically coupled system},
	journal = {Physics Letters A},
	volume = {453},
	year = {2022},
	month = {Jan-11-2022},
	pages = {128481},
	issn = {03759601},
	doi = {10.1016/j.physleta.2022.128481},
	url = {https://linkinghub.elsevier.com/retrieve/pii/S0375960122005631},
	author = {C. de Sousa, M. and Schelin, A.B. and Marcus, F.A. and L. Viana, R. and L. Caldas, I.}
}
@article {742,
	title = {Measure, dimension, and complexity of the transient motion in Hamiltonian systems},
	journal = {Physica D: Nonlinear Phenomena},
	volume = {431},
	year = {2022},
	pages = {133126},
	issn = {01672789},
	doi = {10.1016/j.physd.2021.133126},
	url = {https://linkinghub.elsevier.com/retrieve/pii/S0167278921002700},
	author = {M. de Oliveira, Vitor and S. Palmero, Matheus and Caldas, Iber{\^e} L.}
}
@article {750,
	title = {Transport barriers for two modes drift wave map},
	journal = {Physics Letters A},
	volume = {444},
	year = {2022},
	pages = {128237},
	issn = {03759601},
	doi = {10.1016/j.physleta.2022.128237},
	url = {https://linkinghub.elsevier.com/retrieve/pii/S037596012200319X},
	author = {Bernardi de Souza, L.F. and Egydio de Carvalho, R. and Caldas, I.L.}
}
@article {712,
	title = {Curry{\textendash}Yorke route to shearless attractors and coexistence of attractors in dissipative nontwist systems},
	journal = {Chaos: An Interdisciplinary Journal of Nonlinear Science},
	volume = {31386},
	year = {2021},
	month = {Jan-02-2021},
	pages = {023125},
	issn = {1054-1500},
	doi = {10.1063/5.0035303},
	url = {https://aip.scitation.org/doi/10.1063/5.0035303https://aip.scitation.org/doi/pdf/10.1063/5.0035303},
	author = {Michele Mugnaine and Antonio Marcos Batista and I. L. Caldas and J.D. Szezech and de Carvalho, R. E. and R L Viana}
}
@article {720,
	title = {Dynamics of epidemics: Impact of easing restrictions and control of infection spread},
	journal = {Chaos, Solitons \& Fractals},
	volume = {142},
	year = {2021},
	month = {Nov-12-2020},
	pages = {110431},
	issn = {09600779},
	doi = {10.1016/j.chaos.2020.110431},
	url = {https://linkinghub.elsevier.com/retrieve/pii/S0960077920308249},
	author = {S.L.T. de Souza and Antonio Marcos Batista and I. L. Caldas and K C Iarosz and Szezech Jr, Jos{\'e} D.}
}
@article {708,
	title = {Growth and performance of the periodic orbits of a nonlinear driven oscillator},
	journal = {Chaos, Solitons \& Fractals},
	volume = {150},
	year = {2021},
	month = {Jan-09-2021},
	pages = {111102},
	issn = {09600779},
	doi = {10.1016/j.chaos.2021.111102},
	url = {https://linkinghub.elsevier.com/retrieve/pii/S0960077921004562},
	author = {de Lima, D. R. and I. L. Caldas}
}
@article {703,
	title = {Low-dimensional chaos in the single wave model for self-consistent wave{\textendash}particle Hamiltonian},
	journal = {Chaos: An Interdisciplinary Journal of Nonlinear Science},
	volume = {31},
	year = {2021},
	month = {2021},
	pages = {083104},
	issn = {1054-1500},
	doi = {10.1063/5.0040939},
	url = {https://aip.scitation.org/doi/10.1063/5.0040939https://aip.scitation.org/doi/pdf/10.1063/5.0040939},
	author = {Gomes, J. V. and M. C. de Sousa and R L Viana and I. L. Caldas and Elskens, Y.}
}
@article {705,
	title = {Simulation of deterministic compartmental models for infectious diseases dynamics},
	journal = {Revista Brasileira de Ensino de F{\'\i}sica},
	volume = {43},
	year = {2021},
	month = {Jan-01-2021},
	pages = {e20210171},
	issn = {1806-1117},
	doi = {10.1590/1806-9126-rbef-2021-0171},
	url = {http://www.scielo.br/scielo.php?script=sci_arttext\&pid=S1806-11172021000100454\&tlng=enhttp://www.scielo.br/pdf/rbef/v43/1806-9126-RBEF-43-e20210171.pdf},
	author = {Antonio Marcos Batista and S.L.T. de Souza and K C Iarosz and Almeida, A. C. L. and Szezech Jr, J. D. and Gabrick, E. C. and Michele Mugnaine and dos Santos, G. L. and I. L. Caldas}
}
@article {718,
	title = {Spiral wave chimera states in regular and fractal neuronal networks},
	journal = {Journal of Physics: Complexity},
	volume = {2},
	year = {2021},
	month = {Dez-10-2020},
	pages = {015006},
	doi = {10.1088/2632-072X/abcd14},
	url = {https://iopscience.iop.org/article/10.1088/2632-072X/abcd14},
	author = {Santos, Moises S and P.R. Protachevicz and I. L. Caldas and K C Iarosz and R L Viana and Szezech Jr, Jos{\'e} D and S.L.T. de Souza and Antonio Marcos Batista}
}
@article {714,
	title = {Sub-diffusive behavior in the Standard Map},
	journal = {The European Physical Journal Special Topics},
	year = {2021},
	month = {Jun-05-2021},
	issn = {1951-6355},
	doi = {10.1140/epjs/s11734-021-00165-2},
	url = {https://link.springer.com/10.1140/epjs/s11734-021-00165-2},
	author = {Matheus S. Palmero and Gabriel I. D{\'\i}az and I. L. Caldas and I M Sokolov}
}
@article {680,
	title = {Diffusion phenomena in a mixed phase space},
	journal = {Chaos: An Interdisciplinary Journal of Nonlinear Science},
	volume = {30},
	year = {2020},
	month = {Jan-01-2020},
	pages = {013108},
	issn = {1054-1500},
	doi = {10.1063/1.5100607},
	url = {http://aip.scitation.org/doi/10.1063/1.5100607http://aip.scitation.org/doi/pdf/10.1063/1.5100607},
	author = {Matheus S. Palmero and Gabriel I. D{\'\i}az and McClintock, Peter V. E. and Edson D. Leonel}
}
@article {676,
	title = {Dynamical trapping in the area-preserving H{\'e}non map},
	journal = {The European Physical Journal Special Topics},
	volume = {229},
	year = {2020},
	pages = {1507 - 1516},
	issn = {1951-6355},
	doi = {10.1140/epjst/e2020-900155-8},
	url = {http://link.springer.com/10.1140/epjst/e2020-900155-8},
	author = {Vitor M. de Oliveira and D. Ciro and I. L. Caldas}
}
@article {717,
	title = {Order-chaos-order and invariant manifolds in the bounded planar Earth{\textendash}Moon system},
	journal = {Celestial Mechanics and Dynamical Astronomy},
	volume = {132},
	year = {2020},
	month = {Nov-25-2020},
	pages = {51},
	issn = {0923-2958},
	doi = {10.1007/s10569-020-09989-x},
	url = {http://link.springer.com/10.1007/s10569-020-09989-x},
	author = {Vitor M. de Oliveira and Sousa-Silva, Priscilla A. and I. L. Caldas}
}
@article {689,
	title = {Self-sustained activity of low firing rate in balanced networks},
	journal = {Physica A: Statistical Mechanics and its Applications},
	volume = {537},
	year = {2020},
	pages = {122671},
	issn = {03784371},
	doi = {10.1016/j.physa.2019.122671},
	url = {https://api.elsevier.com/content/article/PII:S0378437119315249?httpAccept=text/xml},
	author = {F S Borges and P.R. Protachevicz and Pena, R.F.O. and E.L. Lameu and Higa, G.S.V. and A.H. Kihara and Matias, F.S. and C.G. Antonopoulos and de Pasquale, R. and Roque, A.C. and K C Iarosz and Peng Ji and Antonio Marcos Batista}
}
@article {694,
	title = {Tilted-hat mushroom billiards: Web-like hierarchical mixed phase space},
	journal = {Communications in Nonlinear Science and Numerical Simulation},
	volume = {91},
	year = {2020},
	pages = {105440},
	issn = {10075704},
	doi = {10.1016/j.cnsns.2020.105440},
	url = {https://api.elsevier.com/content/article/PII:S1007570420302719?httpAccept=text/xml},
	author = {Diogo Ricardo da Costa and Matheus S. Palmero and {\'e}ndez-Berm{\'u}dez, J.A. and K C Iarosz and Szezech Jr, {\'e} D. and Antonio Marcos Batista}
}
@article {699,
	title = {Wave{\textendash}particle interactions in a long traveling wave tube with upgraded helix},
	journal = {Physics of Plasmas},
	volume = {27},
	year = {2020},
	pages = {093108},
	type = {Selected as an Editor{\textquoteright}s Pick},
	issn = {1070-664X},
	doi = {10.1063/5.0018959},
	url = {http://aip.scitation.org/doi/10.1063/5.0018959},
	author = {M. C. de Sousa and Doveil, F. and Elskens, Y. and I. L. Caldas}
}
@article {681,
	title = {Diffusion entropy analysis in billiard systems},
	journal = {Physical Review E},
	volume = {1009818},
	year = {2019},
	month = {Jan-10-2019},
	issn = {2470-0045},
	doi = {10.1103/PhysRevE.100.042207},
	url = {https://link.aps.org/doi/10.1103/PhysRevE.100.042207http://harvest.aps.org/v2/journals/articles/10.1103/PhysRevE.100.042207/fulltexthttps://link.aps.org/article/10.1103/PhysRevE.100.042207},
	author = {Gabriel I. D{\'\i}az and Matheus S. Palmero and I. L. Caldas and Edson D. Leonel}
}
@article {690,
	title = {Numerical simulations of the linear drift memristor model},
	journal = {The European Physical Journal Plus},
	volume = {134},
	year = {2019},
	pages = {102},
	doi = {10.1140/epjp/i2019-12463-y},
	url = {http://link.springer.com/10.1140/epjp/i2019-12463-yhttp://link.springer.com/},
	author = {F A S Ferrari and Prado, Thiago L. and Thiago F. P. da Silva and dos Santos, Clara M. and M.S. Santos and S.L.T. de Souza and K C Iarosz and J.D. Szezech and Antonio Marcos Batista}
}
@article {652,
	title = {Parametric perturbation in a model that describes the neuronal membrane potential},
	journal = {Physica A: Statistical Mechanics and its Applications},
	volume = {515},
	year = {2019},
	month = {Jan-02-2019},
	pages = {519 - 525},
	issn = {03784371},
	doi = {10.1016/j.physa.2018.09.160},
	url = {https://linkinghub.elsevier.com/retrieve/pii/S0378437118313177https://api.elsevier.com/content/article/PII:S0378437118313177?httpAccept=text/xmlhttps://api.elsevier.com/content/article/PII:S0378437118313177?httpAccept=text/plain},
	author = {Diogo Ricardo da Costa and Hansen, Matheus and Antonio Marcos Batista}
}
@article {629,
	title = {Energy distribution in intrinsically coupled systems: The spring pendulum paradigm},
	journal = {Physica A},
	volume = {509},
	year = {2018},
	month = {06/2018},
	pages = {1110-1119},
	doi = {10.1016/j.physa.2018.06.089},
	url = {https://doi.org/10.1016/j.physa.2018.06.089},
	author = {M. C. de Sousa and F. A. Marcus and I. L. Caldas and R L Viana}
}
@article {651,
	title = {Extreming curves and the parameter space of a generalized Logistic mapping},
	journal = {Journal of Vibration Testing and System Dynamics},
	volume = {2},
	year = {2018},
	month = {Jan-06-2018},
	pages = {109 - 118},
	issn = {24754811},
	doi = {10.5890/JVTSD.2018.06.002},
	url = {https://www.lhscientificpublishing.com/Journals/JVTSD-Download.aspx?volume=2018\&issue=2},
	author = {Diogo Ricardo da Costa and Hansen, Matheus and Edson D. Leonel and R.O. Medrano-T}
}
@article {636,
	title = {Improving particle beam acceleration in plasmas},
	journal = {Physics of Plasmas},
	volume = {25},
	year = {2018},
	month = {Apr-17-2018},
	pages = {043110},
	issn = {1070-664X},
	doi = {10.1063/1.5017508},
	url = {https://aip.scitation.org/doi/10.1063/1.5017508},
	author = {M. C. de Sousa and I. L. Caldas}
}
@article {618,
	title = {Investigation of stickiness influence in the anomalous transport and diffusion for a non-dissipative Fermi{\textendash}Ulam model},
	journal = {Communications in Nonlinear Science and Numerical Simulation},
	volume = {55},
	year = {2018},
	month = {Jan-02-2018},
	pages = {225 - 236},
	issn = {10075704},
	doi = {10.1016/j.cnsns.2017.07.010},
	url = {http://linkinghub.elsevier.com/retrieve/pii/S1007570417302605http://api.elsevier.com/content/article/PII:S1007570417302605?httpAccept=text/xmlhttp://api.elsevier.com/content/article/PII:S1007570417302605?httpAccept=text/plain},
	author = {Livorati, A. L. R. and Matheus S. Palmero and Gabriel I. D{\'\i}az and Carl P. Dettmann and I. L. Caldas and Edson D. Leonel}
}
@article {639,
	title = {On the Localization of Invariant Tori in a Family of Generalized Standard Mappings and its Applications to Scaling in a Chaotic Sea},
	journal = {Journal of Applied Nonlinear Dynamics},
	volume = {7},
	year = {2018},
	chapter = {123},
	doi = {10.5890/JAND.2018.06.002},
	url = {https://www.lhscientificpublishing.com/Journals/JAND-Download.aspx?volume=2015\&issue=2},
	author = {Diogo Ricardo da Costa and I. L. Caldas and Ladeira, Denis G. and Edson D. Leonel}
}
@article {621,
	title = {Statistical properties for an open oval billiard: An investigation of the escaping basins},
	journal = {Chaos, Solitons \& Fractals},
	volume = {106},
	year = {2018},
	month = {Jan-01-2018},
	pages = {355 - 362},
	issn = {09600779},
	doi = {10.1016/j.chaos.2017.11.036},
	url = {http://linkinghub.elsevier.com/retrieve/pii/S096007791730499Xhttp://api.elsevier.com/content/article/PII:S096007791730499X?httpAccept=text/xmlhttp://api.elsevier.com/content/article/PII:S096007791730499X?httpAccept=text/plain},
	author = {Hansen, Matheus and Diogo Ricardo da Costa and I. L. Caldas and Edson D. Leonel}
}
@article {633,
	title = {Transition from normal to ballistic diffusion in a one-dimensional impact system},
	journal = {Physical Review E},
	volume = {97},
	year = {2018},
	month = {Jan-03-2018},
	issn = {2470-0045},
	doi = {10.1103/PhysRevE.97.032205},
	url = {https://link.aps.org/doi/10.1103/PhysRevE.97.032205http://harvest.aps.org/v2/journals/articles/10.1103/PhysRevE.97.032205/fulltexthttps://link.aps.org/article/10.1103/PhysRevE.97.032205},
	author = {A. L.P. Livorati and T Kroetz and Carl P. Dettmann and I. L. Caldas and Edson D. Leonel}
}
@article {382,
	title = {Characterization in bi-parameter space of a non-ideal oscillator},
	journal = {Physica A: Statistical Mechanics and its Applications},
	volume = {466},
	year = {2017},
	chapter = {224},
	issn = {03784371},
	doi = {10.1016/j.physa.2016.09.020},
	author = {S.L.T. de Souza and Antonio Marcos Batista and M. S. Baptista and I. L. Caldas and J.M. Balthazar}
}
@article {398,
	title = {Deterministic Chaos Theory: Basic Concepts},
	journal = {Revista Brasileira de Ensino de F{\'\i}sica},
	volume = {39},
	year = {2017},
	month = {Jan-01-2017},
	doi = {10.1590/1806-9126-RBEF-2016-0185},
	url = {http://www.scielo.br/scielo.php?script=sci_arttext\&pid=S1806-11172017000100409\&lng=en\&nrm=iso\&tlng=en},
	author = {Cattani, M. and I. L. Caldas and S.L.T. de Souza and K C Iarosz}
}
@article {616,
	title = {A map for heavy inertial particles in fluid flows},
	journal = {The European Physical Journal Special Topics},
	volume = {226},
	year = {2017},
	month = {Jun},
	pages = {2079{\textendash}2088},
	abstract = {<p>We introduce a map which reproduces qualitatively many fundamental properties of the dynamics of heavy particles in fluid flows. These include a uniform rate of decrease of volume in phase space, a slow-manifold effective dynamics when the single parameter s (analogous of the Stokes number) approaches zero, the possibility of fold caustics in the {\textquoteleft}{\textquoteleft}velocity field{\textquoteright}{\textquoteright}, and a minimum, as a function of s, of the Lyapunov (Kaplan-Yorke) dimension of the attractor where particles accumulate.</p>},
	issn = {1951-6401},
	doi = {10.1140/epjst/e2017-70035-3},
	url = {https://doi.org/10.1140/epjst/e2017-70035-3},
	author = {Vilela, Rafael D. and Vitor M. de Oliveira}
}
@article {620,
	title = {Influence of stability islands in the recurrence of particles in a static oval billiard with holes},
	journal = {Physics Letters A},
	volume = {380},
	year = {2016},
	month = {Jan-10-2016},
	pages = {3634 - 3639},
	issn = {03759601},
	doi = {10.1016/j.physleta.2016.09.009},
	url = {http://linkinghub.elsevier.com/retrieve/pii/S0375960116307654http://api.elsevier.com/content/article/PII:S0375960116307654?httpAccept=text/xmlhttp://api.elsevier.com/content/article/PII:S0375960116307654?httpAccept=text/plain},
	author = {Hansen, Matheus and R. Egydio de Carvalho and Edson D. Leonel}
}
@article {417,
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	volume = {180},
	year = {2009},
	month = {Jan-04-2009},
	pages = {642 - 650},
	issn = {00104655},
	doi = {10.1016/j.cpc.2008.12.025},
	url = {http://linkinghub.elsevier.com/retrieve/pii/S0010465508004426http://api.elsevier.com/content/article/PII:S0010465508004426?httpAccept=text/xmlhttp://api.elsevier.com/content/article/PII:S0010465508004426?httpAccept=text/plain},
	author = {T Kroetz and F. A. Marcus and M Roberto and I. L. Caldas and R L Viana and Elton C. da Silva}
}
@article {497,
	title = {Chaotic transport in reversed shear tokamaks},
	journal = {Nuclear Fusion},
	volume = {48},
	year = {2008},
	month = {Jan-02-2008},
	pages = {024018},
	issn = {0029-5515},
	doi = {10.1088/0029-5515/48/2/024018},
	url = {http://stacks.iop.org/0029-5515/48/i=2/a=024018?key=crossref.8044081abcf6be8f4c92e21c70d1c29e},
	author = {F. A. Marcus and T Kroetz and M Roberto and I. L. Caldas and Elton C. da Silva and R L Viana and Z. O. Guimar{\~a}es-Filho}
}
@article {604,
	title = {Control and chaos for vibro-impact and non-ideal oscillators},
	journal = {Journal of Theoretical and Applied Mechanics},
	volume = {46},
	year = {2008},
	abstract = {<p>In the paper, we discuss dynamics of two kinds of mechanical systems. Initially, we consider vibro-impact systems which have many implementations in applied mechanics, ranging from drilling machinery and metal cutting processes to gear boxes. Moreover, from the point of view of dynamical systems, vibro-impact systems exhibit a rich variety of phenomena, particularly chaotic motion. In this paper, we review recent works on the dynamics of vibro-impact systems, focusing on chaotic motion and its control. The considered systems are a gear-rattling model and a smart damper to suppress chaotic motion. Furthermore, we investigate systems with non-ideal energy source, represented by a limited power supply. As an example of a non-ideal system, we analyse chaotic dynamics of the damped Duffing oscillator coupled to a rotor. Then, we show how to use a tuned liquid damper to control the attractors of this non-ideal oscillator.</p>},
	keywords = {chaos, control of chaos, non-ideal oscillators, vibro-impact},
	url = {http://ptmts.org.pl/jtam/index.php/jtam/article/view/v46n3p641},
	author = {S.L.T. de Souza and I. L. Caldas and R L Viana and J.M. Balthazar}
}
@article {504,
	title = {Escape patterns of chaotic magnetic field lines in a tokamak with reversed magnetic shear and an ergodic limiter},
	journal = {Physics of Plasmas},
	volume = {15},
	year = {2008},
	month = {Jan-09-2008},
	pages = {092310},
	issn = {1070-664X},
	doi = {10.1063/1.2988335},
	url = {http://aip.scitation.org/doi/10.1063/1.2988335http://aip.scitation.org/doi/pdf/10.1063/1.2988335},
	author = {T Kroetz and M Roberto and Elton C. da Silva and I. L. Caldas and R L Viana}
}
@article {505,
	title = {Suppressing grazing chaos in impacting system by structural nonlinearity},
	journal = {Chaos, Solitons \& Fractals},
	volume = {38},
	year = {2008},
	month = {Jan-11-2008},
	pages = {864 - 869},
	issn = {09600779},
	doi = {10.1016/j.chaos.2007.01.022},
	url = {http://linkinghub.elsevier.com/retrieve/pii/S096007790700046Xhttp://api.elsevier.com/content/article/PII:S096007790700046X?httpAccept=text/xmlhttp://api.elsevier.com/content/article/PII:S096007790700046X?httpAccept=text/plain},
	author = {S.L.T. de Souza and Wiercigroch, M. and I. L. Caldas and J.M. Balthazar}
}
@article {509,
	title = {Damping control law for a chaotic impact oscillator},
	journal = {Chaos, Solitons \& Fractals},
	volume = {32},
	year = {2007},
	month = {Jan-04-2007},
	pages = {745 - 750},
	issn = {09600779},
	doi = {10.1016/j.chaos.2005.11.046},
	url = {http://linkinghub.elsevier.com/retrieve/pii/S0960077905011094http://api.elsevier.com/content/article/PII:S0960077905011094?httpAccept=text/xmlhttp://api.elsevier.com/content/article/PII:S0960077905011094?httpAccept=text/plain},
	author = {S.L.T. de Souza and I. L. Caldas and R L Viana}
}
@article {508,
	title = {Noise-induced basin hopping in a vibro-impact system},
	journal = {Chaos, Solitons \& Fractals},
	volume = {32},
	year = {2007},
	month = {Jan-04-2007},
	pages = {758 - 767},
	issn = {09600779},
	doi = {10.1016/j.chaos.2005.11.056},
	url = {http://linkinghub.elsevier.com/retrieve/pii/S0960077905011112http://api.elsevier.com/content/article/PII:S0960077905011112?httpAccept=text/xmlhttp://api.elsevier.com/content/article/PII:S0960077905011112?httpAccept=text/plain},
	author = {S.L.T. de Souza and Antonio Marcos Batista and I. L. Caldas and R L Viana and Kapitaniak, Tomasz}
}
@article {507,
	title = {A simple feedback control for a chaotic oscillator with limited power supply},
	journal = {Journal of Sound and Vibration},
	volume = {299},
	year = {2007},
	month = {Jan-01-2007},
	pages = {664 - 671},
	issn = {0022460X},
	doi = {10.1016/j.jsv.2006.07.024},
	url = {http://linkinghub.elsevier.com/retrieve/pii/S0022460X06005876http://api.elsevier.com/content/article/PII:S0022460X06005876?httpAccept=text/xmlhttp://api.elsevier.com/content/article/PII:S0022460X06005876?httpAccept=text/plain},
	author = {S.L.T. de Souza and I. L. Caldas and R L Viana and J.M. Balthazar and R.M.L.R.F. Brasil}
}
@article {516,
	title = {Dynamics of vibrating systems with tuned liquid column dampers and limited power supply},
	journal = {Journal of Sound and Vibration},
	volume = {289},
	year = {2006},
	month = {Jan-02-2006},
	pages = {987 - 998},
	issn = {0022460X},
	doi = {10.1016/j.jsv.2005.03.001},
	url = {http://linkinghub.elsevier.com/retrieve/pii/S0022460X05001987http://api.elsevier.com/content/article/PII:S0022460X05001987?httpAccept=text/xmlhttp://api.elsevier.com/content/article/PII:S0022460X05001987?httpAccept=text/plain},
	author = {S.L.T. de Souza and I. L. Caldas and R L Viana and J.M. Balthazar and R.M.L.R.F. Brasil}
}
@article {520,
	title = {Effects of the resonant modes on the magnetic footprint patterns in a tokamak wall},
	journal = {Physics of Plasmas},
	volume = {13},
	year = {2006},
	month = {Jan-05-2006},
	pages = {052511},
	issn = {1070-664X},
	doi = {10.1063/1.2186047},
	url = {http://aip.scitation.org/doi/10.1063/1.2186047http://aip.scitation.org/doi/pdf/10.1063/1.2186047},
	author = {Elton C. da Silva and M Roberto and I. L. Caldas and R L Viana}
}
@article {518,
	title = {Escaping and transport barrier due to ergodic magnetic limiters in tokamaks with reversed magnetic shear},
	journal = {Nuclear Fusion},
	volume = {46},
	year = {2006},
	month = {Jan-04-2006},
	pages = {S192 - S198},
	issn = {0029-5515},
	doi = {10.1088/0029-5515/46/4/S11},
	url = {http://stacks.iop.org/0029-5515/46/i=4/a=S11?key=crossref.a1b911854b8e5b3fe841f888acd49ce8},
	author = {Elton C. da Silva and M Roberto and J. S. E. PORTELA and I. L. Caldas and R L Viana}
}
@article {524,
	title = {Basins of attraction changes by amplitude constraining of oscillators with limited power supply},
	journal = {Chaos, Solitons \& Fractals},
	volume = {26},
	year = {2005},
	month = {Jan-11-2005},
	pages = {1211 - 1220},
	issn = {09600779},
	doi = {10.1016/j.chaos.2005.02.039},
	url = {http://linkinghub.elsevier.com/retrieve/pii/S096007790500192Xhttp://api.elsevier.com/content/article/PII:S096007790500192X?httpAccept=text/xmlhttp://api.elsevier.com/content/article/PII:S096007790500192X?httpAccept=text/plain},
	author = {S.L.T. de Souza and I. L. Caldas and R L Viana and J.M. Balthazar and R.M.L.R.F. Brasil}
}
@article {525,
	title = {Derivation of an analytical area-preserving map to describe transport barriers in tokamaks},
	journal = {Journal of Physics: Conference Series},
	volume = {7},
	year = {2005},
	month = {Jan-01-2005},
	pages = {163 - 173},
	issn = {1742-6588},
	doi = {10.1088/1742-6596/7/1/014},
	url = {http://stacks.iop.org/1742-6596/7/i=1/a=014?key=crossref.355e50ad55027b1c250d8b04600082b1},
	author = {M Roberto and Elton C. da Silva and I. L. Caldas and R L Viana}
}
@article {423,
	title = {Impact dampers for controlling chaos in systems with limited power supply},
	journal = {Journal of Sound and Vibration},
	volume = {279},
	year = {2005},
	month = {Jan-01-2005},
	pages = {955 - 967},
	issn = {0022460X},
	doi = {10.1016/j.jsv.2003.11.068},
	url = {http://linkinghub.elsevier.com/retrieve/pii/S0022460X04000549http://api.elsevier.com/content/article/PII:S0022460X04000549?httpAccept=text/xmlhttp://api.elsevier.com/content/article/PII:S0022460X04000549?httpAccept=text/plain},
	author = {S.L.T. de Souza and I. L. Caldas and R L Viana and J.M. Balthazar and R.M.L.R.F. Brasil}
}
@article {523,
	title = {Noise-induced basin hopping in a gearbox model},
	journal = {Chaos, Solitons \& Fractals},
	volume = {26},
	year = {2005},
	month = {Jan-12-2005},
	pages = {1523 - 1531},
	issn = {09600779},
	doi = {10.1016/j.chaos.2005.04.033},
	url = {http://linkinghub.elsevier.com/retrieve/pii/S0960077905003462http://api.elsevier.com/content/article/PII:S0960077905003462?httpAccept=text/xmlhttp://api.elsevier.com/content/article/PII:S0960077905003462?httpAccept=text/plain},
	author = {S.L.T. de Souza and I. L. Caldas and R L Viana and Antonio Marcos Batista and Kapitaniak, Tomasz}
}
@article {421,
	title = {Calculation of Lyapunov exponents in systems with impacts},
	journal = {Chaos, Solitons \& Fractals},
	volume = {19},
	year = {2004},
	month = {Jan-02-2004},
	pages = {569 - 579},
	issn = {09600779},
	doi = {10.1016/S0960-0779(03)00130-9},
	url = {http://linkinghub.elsevier.com/retrieve/pii/S0960077903001309http://api.elsevier.com/content/article/PII:S0960077903001309?httpAccept=text/xmlhttp://api.elsevier.com/content/article/PII:S0960077903001309?httpAccept=text/plain},
	author = {S.L.T. de Souza and I. L. Caldas}
}
@article {530,
	title = {Controlling chaotic orbits in mechanical systems with impacts},
	journal = {Chaos, Solitons \& Fractals},
	volume = {19},
	year = {2004},
	month = {Jan-01-2004},
	pages = {171 - 178},
	issn = {09600779},
	doi = {10.1016/S0960-0779(03)00129-2},
	url = {http://linkinghub.elsevier.com/retrieve/pii/S0960077903001292http://api.elsevier.com/content/article/PII:S0960077903001292?httpAccept=text/xmlhttp://api.elsevier.com/content/article/PII:S0960077903001292?httpAccept=text/plain},
	author = {S.L.T. de Souza and I. L. Caldas}
}
@article {532,
	title = {Magnetic trapping caused by resonant perturbations in tokamaks with reversed magnetic shear},
	journal = {Physics of Plasmas},
	volume = {11},
	year = {2004},
	month = {Jan-01-2004},
	pages = {214 - 225},
	issn = {1070-664X},
	doi = {10.1063/1.1630318},
	url = {http://aip.scitation.org/doi/10.1063/1.1630318http://aip.scitation.org/doi/pdf/10.1063/1.1630318},
	author = {M Roberto and Elton C. da Silva and I. L. Caldas and R L Viana}
}
@article {535,
	title = {Non-twist field line mappings for tokamaks with reversed magnetic shear},
	journal = {Brazilian Journal of Physics},
	volume = {34},
	year = {2004},
	month = {Jan-01-2004},
	pages = {1759 - 1765},
	issn = {0103-9733},
	doi = {10.1590/S0103-97332004000800046},
	url = {http://www.scielo.br/scielo.php?script=sci_arttext\&pid=S0103-97332004000800046\&lng=en\&nrm=iso\&tlng=enhttp://www.scielo.br/pdf/bjp/v34n4b/a46v344b.pdf},
	author = {M Roberto and Elton C. da Silva and I. L. Caldas and R L Viana}
}
@article {536,
	title = {Recurrence time statistics for finite size intervals},
	journal = {Chaos: An Interdisciplinary Journal of Nonlinear Science},
	volume = {14},
	year = {2004},
	month = {Jan-12-2004},
	pages = {975 - 981},
	issn = {1054-1500},
	doi = {10.1063/1.1795491},
	url = {http://aip.scitation.org/doi/10.1063/1.1795491http://aip.scitation.org/doi/pdf/10.1063/1.1795491},
	author = {Altmann, Eduardo G. and Elton C. da Silva and I. L. Caldas}
}
@article {422,
	title = {Sudden changes in chaotic attractors and transient basins in a model for rattling in gearboxes},
	journal = {Chaos, Solitons \& Fractals},
	volume = {21},
	year = {2004},
	month = {Jan-07-2004},
	pages = {763 - 772},
	issn = {09600779},
	doi = {10.1016/j.chaos.2003.12.096},
	url = {http://linkinghub.elsevier.com/retrieve/pii/S0960077903006684http://api.elsevier.com/content/article/PII:S0960077903006684?httpAccept=text/xmlhttp://api.elsevier.com/content/article/PII:S0960077903006684?httpAccept=text/plain},
	author = {S.L.T. de Souza and I. L. Caldas and R L Viana and J.M. Balthazar}
}
@article {529,
	title = {Transport barrier created by dimerized islands},
	journal = {Physica A: Statistical Mechanics and its Applications},
	volume = {342},
	year = {2004},
	month = {Jan-10-2004},
	pages = {363 - 369},
	issn = {03784371},
	doi = {10.1016/j.physa.2004.04.095},
	url = {http://linkinghub.elsevier.com/retrieve/pii/S0378437104005151http://api.elsevier.com/content/article/PII:S0378437104005151?httpAccept=text/xmlhttp://api.elsevier.com/content/article/PII:S0378437104005151?httpAccept=text/plain},
	author = {M Roberto and Elton C. da Silva and I. L. Caldas and R L Viana}
}
@article {551,
	title = {Analysis of Regular and Irregular Dynamics of a Non Ideal Gear Rattling Problem},
	journal = {Journal of the Brazilian Society of Mechanical Sciences},
	volume = {24},
	year = {2002},
	month = {Jan-01-2002},
	doi = {10.1590/S0100-73862002000200005},
	url = {http://www.scielo.br/scielo.php?script=sci_arttext\&pid=S0100-73862002000200005\&lng=en\&nrm=iso\&tlng=en},
	author = {S.L.T. de Souza and I. L. Caldas and J.M. Balthazar and R.M.L.R.F. Brasil}
}
@article {543,
	title = {Bifurcations and onset of chaos on the ergodic magnetic limiter mapping},
	journal = {Chaos, Solitons \& Fractals},
	volume = {14},
	year = {2002},
	month = {Jan-08-2002},
	pages = {403 - 423},
	issn = {09600779},
	doi = {10.1016/S0960-0779(01)00133-3},
	url = {http://linkinghub.elsevier.com/retrieve/pii/S0960077901001333http://api.elsevier.com/content/article/PII:S0960077901001333?httpAccept=text/xmlhttp://api.elsevier.com/content/article/PII:S0960077901001333?httpAccept=text/plain},
	author = {Elton C. da Silva and I. L. Caldas and R L Viana}
}
@article {552,
	title = {Control of chaotic magnetic fields in tokamaks},
	journal = {Brazilian Journal of Physics},
	volume = {32},
	year = {2002},
	month = {Jan-01-2002},
	doi = {10.1590/S0103-97332002000500023},
	url = {http://www.scielo.br/scielo.php?script=sci_arttext\&pid=S0103-97332002000500023\&lng=en\&nrm=iso\&tlng=enhttp://www.scielo.br/pdf/bjp/v32n4/a23v32n4.pdf},
	author = {I. L. Caldas and R L Viana and Araujo, M. S. T. and VANNUCCI, A. and Elton C. da Silva and Ullmann, K. and M. V. A. P. HELLER}
}
@article {548,
	title = {Ergodic magnetic limiter for the TCABR},
	journal = {Brazilian Journal of Physics},
	volume = {32},
	year = {2002},
	month = {Jan-01-2002},
	doi = {10.1590/S0103-97332002000100008},
	url = {http://www.scielo.br/scielo.php?script=sci_arttext\&pid=S0103-97332002000100008\&lng=en\&nrm=iso\&tlng=enhttp://www.scielo.br/pdf/bjp/v32n1/v32n1a08.pdf},
	author = {Elton C. da Silva and I. L. Caldas and R L Viana}
}
@article {553,
	title = {Escape patterns, magnetic footprints, and homoclinic tangles due to ergodic magnetic limiters},
	journal = {Physics of Plasmas},
	volume = {9},
	year = {2002},
	month = {Jan-12-2002},
	pages = {4917 - 4928},
	issn = {1070-664X},
	doi = {10.1063/1.1518681},
	url = {http://aip.scitation.org/doi/10.1063/1.1518681http://aip.scitation.org/doi/pdf/10.1063/1.1518681},
	author = {Elton C. da Silva and I. L. Caldas and R L Viana and M. A. F. Sanjuan}
}
@article {549,
	title = {Statistics of plasma fluctuations in runaway discharges in TCABR tokamak},
	journal = {Brazilian Journal of Physics},
	volume = {32},
	year = {2002},
	month = {Jan-01-2002},
	pages = {95 - 99},
	issn = {0103-9733},
	doi = {10.1590/S0103-97332002000100018},
	url = {http://www.scielo.br/scielo.php?script=sci_arttext\&pid=S0103-97332002000100018\&lng=en\&nrm=iso\&tlng=enhttp://www.scielo.br/pdf/bjp/v32n1/v32n1a18.pdf},
	author = {M. S. Baptista and I. L. Caldas and W.P. de S{\'a} and J.I. Elizondo}
}
@article {554,
	title = {Basins of Attraction and Transient Chaos in a Gear-Rattling Model},
	journal = {Journal of Vibration and Control},
	volume = {7},
	year = {2001},
	month = {Jan-09-2001},
	pages = {849 - 862},
	issn = {1077-5463},
	doi = {10.1177/107754630100700605},
	url = {http://jvc.sagepub.com/cgi/doi/10.1177/107754630100700605},
	author = {S.L.T. de Souza and I. L. Caldas}
}
@article {555,
	title = {Field line diffusion and loss in a tokamak with an ergodic magnetic limiter},
	journal = {Physics of Plasmas},
	volume = {8},
	year = {2001},
	month = {Jan-06-2001},
	pages = {2855 - 2865},
	issn = {1070-664X},
	doi = {10.1063/1.1371769},
	url = {http://aip.scitation.org/doi/10.1063/1.1371769http://aip.scitation.org/doi/pdf/10.1063/1.1371769},
	author = {Elton C. da Silva and I. L. Caldas and R L Viana}
}
@article {593,
	title = {The structure of chaotic magnetic field lines in a tokamak with external nonsymmetric magnetic perturbations},
	journal = {IEEE Transactions on Plasma Science},
	volume = {29},
	year = {2001},
	month = {Dec-31-1969},
	pages = {617 - 631},
	issn = {00933813},
	doi = {10.1109/27.940957},
	url = {http://ieeexplore.ieee.org/document/940957/},
	author = {Elton C. da Silva and I. L. Caldas and R L Viana}
}
@article {606,
	title = {Electrostatic Probe Vacuum System for TCABR Tokamak},
	journal = {Brazilian Journal of Vacuum Applications},
	volume = {18},
	year = {1999},
	pages = {09-11},
	author = {A. A. FERREIRA and M. V. A. P. HELLER and I. L. Caldas and F. T. Degasperi}
}
@article {589,
	title = {Magnetic and electrostatic fluctuations in the CASTOR tokamak},
	journal = {Plasma Physics and Controlled Fusion},
	volume = {41},
	year = {1999},
	month = {Jan-03-1999},
	pages = {A577 - A585},
	issn = {0741-3335},
	doi = {10.1088/0741-3335/41/3A/051},
	url = {http://stacks.iop.org/0741-3335/41/i=3A/a=051?key=crossref.8c7d4c9f000fdd9839a28d4fc533318f},
	author = {J. St{\"o}ckel and Badalec, J and Duran, I and Hron, M and Hor{\'a}cek, J and Jakubka, K and Kryska, L and J. Petrzilka and K{\'a}cek, F and M. V. A. P. HELLER and Z. A. Brasilio and I. L. Caldas}
}
@article {566,
	title = {A complex probe for measurements of turbulence in the edge of magnetically confined plasmas},
	journal = {Review of Scientific Instruments},
	volume = {68},
	year = {1997},
	month = {Jan-12-1997},
	pages = {4418 - 4423},
	issn = {0034-6748},
	doi = {10.1063/1.1148406},
	url = {http://aip.scitation.org/doi/10.1063/1.1148406http://aip.scitation.org/doi/pdf/10.1063/1.1148406},
	author = {R. M. Castro and M. V. A. P. HELLER and R. P. da Silva and I. L. Caldas and F. T. Degasperi and I. C. Nascimento}
}
@article {581,
	title = {Correlation between Plasma Edge Electrostatic and Magnetic Oscillations in the Brazilian Tokamak TBR},
	journal = {Journal of the Physical Society of Japan},
	volume = {66},
	year = {1997},
	month = {Mar-11-1998},
	pages = {3453 - 3460},
	issn = {0031-9015},
	doi = {10.1143/JPSJ.66.3453},
	url = {http://journals.jps.jp/doi/10.1143/JPSJ.66.3453},
	author = {Heller, ~V.~A.~P. and R. M. Castro and I. L. Caldas and Bas{\'\i}lio, ~A. and R. P. da Silva and I. C. Nascimento}
}
@article {565,
	title = {Electrostatic Turbulence in the TBR Tokamak},
	journal = {Brazilian Journal of Physics},
	volume = {27},
	year = {1997},
	month = {Jan-01-1997},
	issn = {0103-9733},
	doi = {10.1590/S0103-97331997000300010},
	url = {http://www.scielo.br/scielo.php?script=sci_arttext\&pid=S0103-97331997000300010\&lng=en\&nrm=iso\&tlng=en},
	author = {R. M. de Castro and M. V. A. P. HELLER and I. L. Caldas and R. P. da Silva and I. C. Nascimento}
}
@article {579,
	title = {Influence of resonant magnetic perturbations on plasma edge turbulence},
	journal = {Physics of Plasmas},
	volume = {4},
	year = {1997},
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	url = {http://aip.scitation.org/doi/10.1063/1.872093http://aip.scitation.org/doi/pdf/10.1063/1.872093},
	author = {R. M. Castro and M. V. A. P. HELLER and I. L. Caldas and Bas{\i}́lio, Z. A. and R. P. da Silva and I. C. Nascimento}
}
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	author = {R. M. Castro and M. V. A. P. HELLER and I. L. Caldas and R. P. da Silva and Z. A. Brasilio and I. C. Nascimento}
}
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	author = {M. V. A. P. HELLER and R. M. Castro and Z. A. Brasilio and I. L. Caldas and R. P. da Silva}
}
