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Discontinuity, Nonlinearity, and Complexity 1(4) (2012) 387--398 | DOI:10.5890/DNC.2012.10.002

Luiz F.R. Turci$^{1}$; Elbert E.N. Macau$^{2}$; Takashi Yoneyama$^{3}$

$^{1}$ Institute of Science and Technology - ICT, Federal University of Alfenas - UNIFAL-MG, Poços de Caldas - MG, Brazil

$^{2}$ Computation and AppliedMathematics Associated Laboratory - LAC, National Institute of Space Research - Inpe, São José dos Campos - SP, Brazil

$^{3}$ Technological Institute of Aeronautics - ITA, Aerospace Technical Center - CTA, São José dos Campos - SP, Brazil

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Abstract

Chaotic systems are recognized by presenting an evolved dynamics in which sophisticated phenomena as crisis, metamorphoses and transitions may take places. In this work we show that these phenomena are present even in very simple system. Here we analyze a simple rectifier electronic circuit and show the mechanisms that mediate its transition from a simple to a rich dynamics. Furthermore, we identified the presence of a chaotic saddle in the system, which also implies the occurrence of transient chaos even for parameters for which the systems eventually sets in a regular behavior.

Acknowledgments

We would like to thank Fapesp and CNPq for their financial support on this work.

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