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

• Jean-Pierre Françoise ^[1]
  1. [1] Pierre and Marie Curie University

     Pierre and Marie Curie University

     París, Francia

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 11, Nº 1, 2012 (Ejemplar dedicado a: Algebraic and Analytic Techniques for Polynomial Vector Fields), págs. 61-77
• Idioma: inglés
• DOI: 10.1007/s12346-012-0071-3
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.