guest ::
| Home > Articles > Published articles > Canards Existence in Memristor's Circuits |
| Home > Articles > Published articles > Canards Existence in Memristor's Circuits |
(Université de Toulon(France). Laboratoire LSIS) (Universitat Autònoma de Barcelona. Departament de Matemàtiques)| Date: | 2016 |
| Abstract: | 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four-dimensional memristor canonical Chua's circuits for which the classical piecewise-linear characteristic curve has been replaced by a smooth cubic nonlinear function according to the least squares method enables to show the existence of "canard solutions" in such Memristor Based Chaotic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. |
| Grants: | Ministerio de Economía y Competitividad MTM2008-03437 Ministerio de Ciencia e Innovación MTM2009-03437 Ministerio de Ciencia e Innovación MTM2013-40998-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 European Commission 316338 European Commission 316339 |
| Rights: | Tots els drets reservats.  |
| Language: | Anglès |
| Document: | Article ; recerca ; Versió acceptada per publicar |
| Subject: | Canard solutions ; Geometric singular perturbation theory ; Singularly perturbed dynamical systems |
| Published in: | Qualitative theory of dynamical systems, 2016 , ISSN 1662-3592 |
46 p, 1.1 MB |
