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Nonlocal Bifurcations
About this Title
Yu. Ilyashenko, Moscow State University, Moscow, Russia and Weigu Li
Publication: Mathematical Surveys and Monographs
Publication Year:
1999; Volume 66
ISBNs: 978-0-8218-0497-1 (print); 978-1-4704-1293-7 (online)
DOI: https://doi.org/10.1090/surv/066
MathSciNet review: MR1650842
MSC: Primary 58F14; Secondary 34C23, 34C35, 58F09, 58F15, 58F36
Table of Contents
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Front/Back Matter
Chapters
- 1. Introduction
- 2. Preliminaries
- 3. Bifurcations in the plane
- 4. Homoclinic orbits of nonhyperbolic singular points
- 5. Homoclinic tori and Klein bottles of nonhyperbolic periodic orbits: Noncritical case
- 6. Homoclinic torus of a nonhyperbolic periodic orbit: Semicritical case
- 7. Bifurcations of homoclinic trajectories of hyperbolic saddles
- 8. Elements of hyperbolic theory
- 9. Normal forms for local families: Hyperbolic case
- 10. Normal forms for unfoldings of saddlenodes