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Bifurcation of Maps and Applications

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Author(s): G. Iooss (Eds.)
Series: North-Holland Mathematics Studies 36
Publisher: North Holland
Year: 1979

Language: English
Pages: iii-x, 1-232

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