Canards from Chua's circuit

Jean Marc Ginoux; Jaume Llibre; Leon O. Chua

doi:https://doi.org/10.1142/S0218127413300103

Canards from Chua's circuit

Jean Marc Ginoux, Jaume Llibre, Leon O. Chua

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

8 Citations (Scopus)

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. © 2013 World Scientific Publishing Company.

Original language	English
Article number	1330010
Journal	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume	23
Issue number	4
DOIs	https://doi.org/10.1142/S0218127413300103
Publication status	Published - 1 Jan 2013

Keywords

Canard solutions
Flow curvature method
Geometric singular perturbation method
Singularly perturbed dynamical systems

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https://doi.org/10.1142/S0218127413300103

https://ddd.uab.cat/record/150585

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AU - Llibre, Jaume

AU - Chua, Leon O.

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N2 - 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. © 2013 World Scientific Publishing Company.

AB - 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. © 2013 World Scientific Publishing Company.

KW - Canard solutions

KW - Flow curvature method

KW - Geometric singular perturbation method

KW - Singularly perturbed dynamical systems

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Canards from Chua's circuit

Abstract

Keywords

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