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Canards from Chua's circuit

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.
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Contributor : Jean-Marc Ginoux Connect in order to contact the contributor
Submitted on : Thursday, August 21, 2014 - 9:18:29 AM
Last modification on : Monday, March 29, 2021 - 11:50:03 AM
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Jean-Marc Ginoux, Jaume Llibre, Leon Chua. Canards from Chua's circuit. International journal of bifurcation and chaos in applied sciences and engineering , World Scientific Publishing, 2013, 23 (4), pp.1330010. ⟨10.1142/S0218127413300103⟩. ⟨hal-01056966⟩



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