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Article Dans Une Revue Qualitative Theory of Dynamical Systems Année : 2012

Poincaré–Andronov–Hopf Bifurcation and the Local Hilbert’s 16th Problem

Résumé

This survey on the Hopf bifurcation (in a broad sense) has been written in order to clarify some aspects in the light of recent progresses made in the local Hilbert’s 16th problem. As a practical guide, it can be of potential interest for applications. It includes dynamical and multi-scales versions.
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Dates et versions

hal-01398749 , version 1 (17-11-2016)

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Jean-Pierre Françoise. Poincaré–Andronov–Hopf Bifurcation and the Local Hilbert’s 16th Problem. Qualitative Theory of Dynamical Systems, 2012, 11 (1), pp.61 - 77. ⟨10.1007/s12346-012-0071-3⟩. ⟨hal-01398749⟩
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