CANARDS FROM CHUA'S CIRCUIT-Reference-Cited by-同舟云学术

CANARDS FROM CHUA'S CIRCUIT

Published:2013-04 Issue:04 Volume:23 Page:1330010
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

GINOUX JEAN-MARC¹,LLIBRE JAUME²,CHUA LEON O.³

Affiliation:

1. Laboratoire PROTEE, Université du Sud, I.U.T. de Toulon, BP 20132, F-83957 La Garde Cedex, France

2. Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Spain

3. EECS Department, University of California, Berkeley, 253 Cory Hall #1770, Berkeley, CA 94720-1770, USA

Abstract

The aim of this work is to extend Benoît's theorem for the generic existence of "canards" solutions in singularly perturbed dynamical systems of dimension three with one fast variable to those of dimension four. Then, it is established that this result can be found according to the Flow Curvature Method. Applications to Chua's cubic model of dimension three and four enable to state the existence of "canards" solutions in such systems.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127413300103

Reference22 articles.

1. Perturbation singulière en dimension trois : canards en un point pseudo-singulier nœud

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