Evolution of Chaos in the Matsumoto-Chua Circuit: a Symbolic Dynamics Approach

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1. Verfasser: Dariel M. Maranhào
Format: Artículo científico
Sprache:en
Veröffentlicht: Sociedade Brasileira de Física 2005
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author Dariel M. Maranhào
author_facet Dariel M. Maranhào
contents Evolution of Chaos in the Matsumoto-Chua Circuit: a Symbolic Dynamics Approach Dariel M. Maranhào Carmen P. C. Prado Física, Astronomía y Matemáticas We use symbolic dynamics to follow the evolution of the Matsumoto-Chua circuit in the chaotic regime. Weconsider the evolution of the whole population of unstable periodic orbits and of the associated trajectories, infour chaotic attractors generated by the circuit. Symbolic planes and first return maps are built for differentvalues of the control parameter. The bifurcation mechanism suggests the possibility of the existence of ahomoclinic orbit. 2005 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46435112 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.1 Vol.35
format Artículo científico
id redalyc_46435112
institution Redalyc
language en
publishDate 2005
publisher Sociedade Brasileira de Física
spellingShingle Evolution of Chaos in the Matsumoto-Chua Circuit: a Symbolic Dynamics Approach
Dariel M. Maranhào
Física, Astronomía y Matemáticas
Evolution of Chaos in the Matsumoto-Chua Circuit: a Symbolic Dynamics Approach Dariel M. Maranhào Carmen P. C. Prado Física, Astronomía y Matemáticas We use symbolic dynamics to follow the evolution of the Matsumoto-Chua circuit in the chaotic regime. Weconsider the evolution of the whole population of unstable periodic orbits and of the associated trajectories, infour chaotic attractors generated by the circuit. Symbolic planes and first return maps are built for differentvalues of the control parameter. The bifurcation mechanism suggests the possibility of the existence of ahomoclinic orbit. 2005 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46435112 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.1 Vol.35
title Evolution of Chaos in the Matsumoto-Chua Circuit: a Symbolic Dynamics Approach
topic Física, Astronomía y Matemáticas
url https://www.redalyc.org/articulo.oa?id=46435112