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Type: Artigo de periódico
Title: Chaotic oscillations in singularly perturbed FitzHugh-Nagumo systems
Author: Barbosa, PTC
Saa, A
Abstract: We consider the singularly perturbed limit of periodically excited two-dimensional FitzHugh-Nagumo systems. We show that the dynamics of such systems are essentially governed by a one-dimensional map and present a numerical scheme to accurately compute it together with its Lyapunov exponent. We then investigate the occurrence of chaos by varying the parameters of the system, with especial emphasis on the simplest possible chaotic oscillations. Our results corroborate and complement some recent works on bifurcations and routes to chaos in certain particular cases corresponding to piecewise linear FitzHugh-Nagumo-like systems. (C) 2013 Elsevier Ltd. All rights reserved.
Country: Inglaterra
Editor: Pergamon-elsevier Science Ltd
Rights: fechado
Identifier DOI: 10.1016/j.chaos.2013.11.009
Date Issue: 2014
Appears in Collections:Unicamp - Artigos e Outros Documentos

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