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arXiv · 1408.4894

Flow Curvature Method applied to Canard Explosion

Jean-Marc Ginoux·Jaume Llibre
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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. 2014-08-21. Flow Curvature Method applied to Canard Explosion. https://doi.org/10.1088/1751-8113/44/46/465203

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