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.
https://hal-univ-tln.archives-ouvertes.fr/hal-01056966
Contributor : Jean-Marc Ginoux
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Submitted on : Thursday, August 21, 2014 - 9:18:29 AM
Last modification on : Wednesday, August 7, 2019 - 12:19:23 PM
Long-term archiving on : Thursday, November 27, 2014 - 12:30:33 PM
Jean-Marc Ginoux, Jaume Llibre, Leon Chua. Canards from Chua's circuit. International Journal of Bifurcation and Chaos, World Scientific Publishing, 2013, 23 (4), pp.1330010. ⟨10.1142/S0218127413300103⟩. ⟨hal-01056966⟩
