Title Global aspects of homoclinic bifurcations of vector fields / Ale Jan Homburg

Published Providence, Rhode Island : American Mathematical Society, 1996 ©1996

Click on the following:
ProQuest Ebook Central

Copies

Description 1 online resource (143 pages) : illustrations Series Memoirs of the American Mathematical Society, 0065-9266 ; Volume 121, Number 578 Memoirs of the American Mathematical Society ; Volume 121, no. 578. Contents Contents -- 1 Introduction -- 2 Invariant manifolds and foliations -- 2.1 Construction of foliations and invariant manifolds -- 2.2 Saddle-saddle type homoclinic bifurcation -- 2.3 Generalized homoclinic orbits -- 3 Homoclinic intermittency -- 3.1 Properties of the Poincare return map -- 3.2 An orientable centre manifold -- 3.3 A nonorientable centre manifold -- 4 Suspended basic sets -- 4.1 Properties of the Poincare return map -- 4.2 The orientable suspended horseshoe -- 4.3 The nonorientable suspended horseshoe -- 4.4 Several generalized homoclinic orbits Appendix A: Invariant foliationsA.1 Linearisation on a centre manifold -- A.2 Smoothness of foliations -- Bibliography Notes "May 1996, volume 121, number 578 (second of 4 numbers)." Bibliography Includes bibliographical references Notes English Print version record Subject Bifurcation theory. Vector fields. Differentiable dynamical systems. Bifurcation theory Differentiable dynamical systems Vector fields Form Electronic book ISBN 9781470401634 1470401630

  Permalink