Bifurcation of Maps and Applications

G. Iooss (Eds.)0444853049, 9780444853042

Table of contents :
Content:
Edited by
Page iii

Copyright page
Page iv

Introduction
Pages vii-x

I. Stability or Instability of a Fixed Point of a Map in a Banach Space.
Pages 1-8

II. Bifurcation of Fixed Points in IR
Pages 9-25

III. HOPF Bifurcation in R2.
Pages 27-103

IV. Subharmonic Bifurcations of Fixed Points in R2 (Strong Resonance).
Pages 105-130

V. Invariant Manifolds and Applications
Pages 131-199

VI. Bifurcation of an Invariant Circle into an Invariant 2 – Torus for a One Parameter Family of Maps
Pages 201-227

Bibliography
Pages 229-232