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Flow Curvature Method applied to Canard Explosion

Abstract : The aim of this work is to establish that the bifurcation parameter value leading to a canard explosion in dimension two obtained by the so-called Geometric Singular Perturbation Method can be found according to the Flow Curvature Method. This result will be then exemplified with the classical Van der Pol oscillator.
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Jean-Marc Ginoux, Jaume Llibre. Flow Curvature Method applied to Canard Explosion. Chaos: An Interdisciplinary Journal of Nonlinear Science, American Institute of Physics, 2011, 44 (46), pp.465203. ⟨10.1088/1751-8113/44/46/465203⟩. ⟨hal-01056936⟩

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