@article {869,
	title = {Arnold tongues replace period-doubling cascades in a memristor circuit},
	journal = {Chaos: An Interdisciplinary Journal of Nonlinear Science},
	volume = {35},
	year = {2025},
	month = {Jan-09-2025},
	chapter = {073116},
	issn = {1054-1500},
	doi = {10.1063/5.0277414},
	url = {https://pubs.aip.org/cha/article/35/9/093106/3361533/Arnold-tongues-replace-period-doubling-cascades-in},
	author = {de Souza, S. L. T. and Batista, A. M. and Caldas, I. L.}
}
@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 {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 {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 {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 {425,
	title = {Transient chaotic transport in dissipative drift motion},
	journal = {Physics Letters A},
	volume = {380},
	year = {2016},
	month = {Jan-04-2016},
	pages = {1621 - 1626},
	issn = {03759601},
	doi = {10.1016/j.physleta.2016.03.012},
	url = {http://linkinghub.elsevier.com/retrieve/pii/S0375960116002413http://api.elsevier.com/content/article/PII:S0375960116002413?httpAccept=text/xmlhttp://api.elsevier.com/content/article/PII:S0375960116002413?httpAccept=text/plain},
	author = {Ricardo S. Oyarzabal and J.D. Szezech and Antonio Marcos Batista and S.L.T. de Souza and I. L. Caldas and R L Viana and M. A. F. Sanjuan}
}
@article {600,
	title = {Super persistent transient in a master{\textendash}slave configuration with Colpitts oscillators},
	journal = {Journal of Physics A: Mathematical and Theoretical},
	volume = {47},
	year = {2014},
	month = {Oct-10-2014},
	pages = {405101},
	issn = {1751-8113},
	doi = {10.1088/1751-8113/47/40/405101},
	author = {R.C. Bonetti and S.L.T. de Souza and Antonio Marcos Batista and J.D. Szezech and I. L. Caldas and R L Viana and S.R. Lopes and M. S. Baptista}
}
@article {401,
	title = {Torsion-adding and asymptotic winding number for periodic window sequences},
	journal = {Physics Letters A},
	volume = {377},
	year = {2013},
	month = {Jan-03-2013},
	pages = {628 - 631},
	issn = {03759601},
	doi = {10.1016/j.physleta.2013.01.004},
	url = {http://linkinghub.elsevier.com/retrieve/pii/S0375960113000170http://api.elsevier.com/content/article/PII:S0375960113000170?httpAccept=text/xmlhttp://api.elsevier.com/content/article/PII:S0375960113000170?httpAccept=text/plain},
	author = {Everton S. Medeiros and R.O. Medrano-T and I. L. Caldas and S.L.T. de Souza}
}
@article {461,
	title = {Self-similarities of periodic structures for a discrete model of a two-gene system},
	journal = {Physics Letters A},
	volume = {376},
	year = {2012},
	month = {Jan-03-2012},
	pages = {1290 - 1294},
	issn = {03759601},
	doi = {10.1016/j.physleta.2012.02.036},
	url = {http://linkinghub.elsevier.com/retrieve/pii/S0375960112001715http://api.elsevier.com/content/article/PII:S0375960112001715?httpAccept=text/xmlhttp://api.elsevier.com/content/article/PII:S0375960112001715?httpAccept=text/plain},
	author = {S.L.T. de Souza and Lima, A.A. and I. L. Caldas and R.O. Medrano-T and Z. O. Guimar{\~a}es-Filho}
}
@article {402,
	title = {Replicate periodic windows in the parameter space of driven oscillators},
	journal = {Chaos, Solitons \& Fractals},
	volume = {44},
	year = {2011},
	month = {Jan-11-2011},
	pages = {982 - 989},
	issn = {09600779},
	doi = {10.1016/j.chaos.2011.08.002},
	url = {http://linkinghub.elsevier.com/retrieve/pii/S0960077911001573http://api.elsevier.com/content/article/PII:S0960077911001573?httpAccept=text/xmlhttp://api.elsevier.com/content/article/PII:S0960077911001573?httpAccept=text/plain},
	author = {Everton S. Medeiros and S.L.T. de Souza and R.O. Medrano-T and I. L. Caldas}
}
@article {400,
	title = {Periodic window arising in the parameter space of an impact oscillator},
	journal = {Physics Letters A},
	volume = {374},
	year = {2010},
	month = {Jan-06-2010},
	pages = {2628 - 2635},
	issn = {03759601},
	doi = {10.1016/j.physleta.2010.04.045},
	url = {http://linkinghub.elsevier.com/retrieve/pii/S0375960110004846http://api.elsevier.com/content/article/PII:S0375960110004846?httpAccept=text/xmlhttp://api.elsevier.com/content/article/PII:S0375960110004846?httpAccept=text/plain},
	author = {Everton S. Medeiros and S.L.T. de Souza and R.O. Medrano-T and I. L. Caldas}
}
@article {594,
	title = {Multistability and Self-Similarity in the Parameter-Space of a Vibro-Impact System},
	journal = {Mathematical Problems in Engineering},
	volume = {2009464610},
	year = {2009},
	month = {Jan-01-2009},
	pages = {1 - 11},
	issn = {1024-123X},
	doi = {10.1155/2009/290356},
	author = {S.L.T. de Souza and I. L. Caldas and R L Viana}
}
@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 {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 {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 {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 {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 {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 {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}
}
