Bifurcations of Planar Vector Fields and Hilbert's Sixteenth Problem

In a coherent, exhaustive and progressive way, this book presents the tools for studying local bifurcations of limit cycles in families of planar vector fields. A systematic introduction is given to such methods as division of an analytic family of functions in its ideal of coefficients, and asympto...

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Main Author: Roussarie, Robert
Corporate Author: SpringerLink (Online service)
Format: eBook
Published: Basel Springer Basel 1998, 1998
Edition:1st ed. 1998
Series:Modern Birkhäuser Classics
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • Preface
  • 1 Families of Two-dimensional Vector Fields
  • 2 Limit Periodic Sets
  • 3 The 0-Parameter Case
  • 4 Bifurcations of Regular Limit Periodic Sets
  • 5 Bifurcations of Elementary Graphics
  • 6 Desingularization Theory and Bifurcation of Non-elementary Limit Periodic Sets
  • Bibliography
  • Index