Ordinary Differential Equations with Applications

• Main Author: Chicone, Carmen (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2006.
• Edition: 2.
• Series: Texts in Applied Mathematics, 34
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Dynamics.; Ergodic theory.; Differential equations.; Statistical physics.; Dynamical systems.; Ordinary Differential Equations.; Dynamical Systems and Ergodic Theory.; Statistical Physics, Dynamical Systems and Complexity.; Analysis.

This book developed over 20 years of the author teaching the course at his own university. It serves as a text for a graduate level course in the theory of ordinary differential equations, written from a dynamical systems point of view. It contains both theory and applications, with the applications...

Table of Contents:

• to Ordinary Differential Equations
• Linear Systems and Stability of Nonlinear Systems
• Applications
• Hyperbolic Theory
• Continuation of Periodic Solutions
• Homoclinic Orbits, Melnikov’s Method, and Chaos
• Averaging
• Local Bifurcation.