Canards Existence in Memristor’s Circuits
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Jean-Marc Ginoux [1] ; Jaume Llibre [2]
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[1] Universite De Toulon Et Du Var
Universite De Toulon Et Du Var
Arrondissement de Toulon, Francia
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[2] Universitat Autònoma de Barcelona
Universitat Autònoma de Barcelona
Barcelona, España
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- Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 15, Nº 2, 2016, págs. 383-431
- Idioma: inglés
- Texto completo no disponible (Saber más ...)
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Resumen
The aim of this work is to propose an alternative method for determining the condition of existence of “canard solutions” for three and four-dimensional singularly perturbed systems with only one fast variable in the folded saddle case. This method enables to state a unique generic condition for the existence of “canard solutions” for such three and four-dimensional singularly perturbed systems which is based on the stability of folded singularities of the normalized slow dynamics deduced from a well-known property of linear algebra. This unique generic condition is perfectly identical to that provided in previous works. Application of this method to the famous three and four-dimensional memristor canonical Chua’s circuits for which the classical piecewise-linear characteristic curve has been replaced by a smooth cubic nonlinear function according to the least squares method enables to show the existence of “canard solutions” in such Memristor Based Chaotic Circuits.
