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Differential Equations: A Dynamical Systems Approach to Theory and Practice
About this Title
Marcelo Viana, IMPA - Instituto de Matemática Pura e Aplicada, Rio de Janeiro, Brazil and José M. Espinar, Universidad de Cádiz, Cadiz, Spain
Publication: Graduate Studies in Mathematics
Publication Year:
2021; Volume 212
ISBNs: 978-1-4704-5114-1 (print); 978-1-4704-6538-4 (online)
DOI: https://doi.org/10.1090/gsm/212
ReadershipTable of Contents
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Front/Back Matter
Chapters
- Introduction
- Local solutions
- Maximal solutions
- Numerical integration
- Autonomous equations
- Autonomous linear equations
- Non-autonomous linear equations
- Lyapunov stability
- Grobman–Hartman theorem
- Stable manifold theorem
- Vector fields on surfaces
- Poincaré–Hopf theorem
- Metric spaces and differentiable manifolds
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