Per citar aquest document: https://ddd.uab.cat/record/150585
Scopus: 3 cites, Web of Science: 4 cites,
Canards from Chua's circuit
Ginoux, Jean-Marc (Université du Sud(France). Laboratoire Protee)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Chua, Leon O. (University of California. DEECS Department)

Data: 2013
Resum: At first, 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 enables to state existence of “canards” solutions in such systems.
Nota: Número d'acord de subvenció MINECO/MTM2008-03437
Nota: Número d'acord de subvenció AGAUR/2009/SGR-410
Nota: Número d'acord de subvenció EC/FP7/2012/316338
Nota: Agraïments: First author would like to thank Prof. Martin Wechselberger for his fruitful advices. Moreover, let’s notice that our main result has been already established by Wechselberger [2012] who has extended canard theory of singularly perturbed systems to the more general case of k + m-dimensional singularly perturbed systems with k slow and m fast dimensions, with k > 2 and m > 1.
Drets: Tots els drets reservats.
Llengua: Anglès
Document: article ; recerca ; preprint
Matèria: Geometric singular perturbation method ; Flow curvature method ; Singularly perturbed dynamical systems ; Canard solutions
Publicat a: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol. 23 Núm. 4 (2013) , p. 1330010, ISSN 1793-6551

DOI: 10.1142/S0218127413300103


Preprint
21 p, 917.4 KB

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 Registre creat el 2016-05-06, darrera modificació el 2017-10-14



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