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Ordinary Differential Equations: Qualitative Theory
About this Title
Luis Barreira, Instituto Superior Técnico, Lisbon, Portugal and Claudia Valls, Instituto Superior Técnico, Lisbon, Portugal. Translated by Luis Barreira, Instituto Superior Técnico, Lisbon, Portugal and Claudia Valls, Instituto Superior Técnico, Lisbon, Portugal
Publication: Graduate Studies in Mathematics
Publication Year:
2012; Volume 137
ISBNs: 978-0-8218-8749-3 (print); 978-0-8218-8993-0 (online)
DOI: https://doi.org/10.1090/gsm/137
MathSciNet review: MR2931599
MSC: Primary 34-01; Secondary 37Dxx, 37Gxx, 37Jxx
Table of Contents
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Front/Back Matter
Part 1. Basic concepts and linear equations
- Chapter 1. Ordinary differential equations
- Chapter 2. Linear equations and conjugacies
Part 2. Stability of hyperbolicity
- Chapter 3. Stability and Lyapunov functions
- Chapter 4. Hyperbolicity and topological conjugacies
- Chapter 5. Existence of invariant manifolds
Part 3. Equations in the plane
- Chapter 6. Index theory
- Chapter 7. Poincaré-Bendixson theory
Part 4. Further topics
- Chapter 8. Bifurcations and center manifolds
- Chapter 9. Hamiltonian systems