Nonlocal bifurcations

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Nonlocal bifurcations / Yu. Ilyashenko, Weigu Li

資料種別:

図書

出版情報:

Providence, R.I. : American Mathematical Society, c1999

形態:

xiii, 286 p. ; 26 cm

シリーズ名:

Mathematical surveys and monographs ; v. 66 <BA00134419>

著者名:

ISBN:

9780821804971 [0821804979]

書誌ID:

BA38469169

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注記:

Includes bibliographical references (p. 281-286)

主題:

Bifurcation theory

言語:

英語

目次情報:

Introduction

Preliminaries Bifurcations in the plane

Homoclinic orbits of nonhyperbolic singular points

Homoclinic tori and Klein bottles of nonhyperbolic periodic orbits: Noncritical case

Homoclinic torus of a nonhyperbolic periodic orbit: Semicritical case

Bifurcations of homoclinic trajectories of hyperbolic saddles

Elements of hyperbolic theory Normal forms for local families: Hyperbolic case

Normal forms for unfoldings of saddlenodes

Bibliography

Introduction

Preliminaries Bifurcations in the plane

Homoclinic orbits of nonhyperbolic singular points

Homoclinic tori and Klein bottles of nonhyperbolic periodic orbits: Noncritical case

Homoclinic torus of a nonhyperbolic periodic orbit: Semicritical case

Bifurcations of homoclinic trajectories of hyperbolic saddles

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