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arxiv: 1408.4894 · v1 · pith:PWVBJMBYnew · submitted 2014-08-21 · 🧮 math.DS

Flow Curvature Method applied to Canard Explosion

classification 🧮 math.DS
keywords methodcanardcurvatureexplosionflowaccordingappliedbifurcation
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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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