Global Aspects of Homoclinic Bifurcations of Vector Fields.

Intro -- 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 foliations -- A.1 Linearisation on a centre manifold -- A.2 Smoothness of foliations -- Bibliography.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.