Ordinary Differential Equations and Dynamical Systems

• Main Author: Sideris, Thomas C. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Paris : Atlantis Press : Imprint: Atlantis Press, 2013.
• Series: Atlantis Studies in Differential Equations, 2
• Subjects: Mathematics.; Differential equations.; Ordinary Differential Equations.

This book is a mathematically rigorous introduction to the beautiful subject of ordinary differential equations for beginning graduate or advanced undergraduate students. Students should have a solid background in analysis and linear algebra. The presentation emphasizes commonly used techniques with...

Table of Contents:

• Introduction
• Linear Systems
• Existence Theory
• Nonautomous Linear Systems
• Results from Functional Analysis
• Dependence on Initial Conditions and Parameters
• Linearization and Invariant Manifolds
• Periodic Solutions
• Center Manifolds and Bifurcation Theory
• The Birkhoff Smale Homoclinic Theorem
• Appendix: Results from Real Analysis.