System Upgrade on Tue, May 28th, 2024 at 2am (EDT)
Existing users will be able to log into the site and access content. However, E-commerce and registration of new users may not be available for up to 12 hours.For online purchase, please visit us again. Contact us at customercare@wspc.com for any enquiries.
During the past three decades, the development of nonlinear analysis, dynamical systems and their applications to science and engineering has stimulated renewed enthusiasm for the theory of Ordinary Differential Equations (ODE).
This useful book, which is based around the lecture notes of a well-received graduate course, emphasizes both theory and applications, taking numerous examples from physics and biology to illustrate the application of ODE theory and techniques.
Written in a straightforward and easily accessible style, this volume presents dynamical systems in the spirit of nonlinear analysis to readers at a graduate level and serves both as a textbook or as a valuable resource for researchers.
Sample Chapter(s)
Chapter 1: Introduction (299 KB)
Contents:
- Fundamental Theory
- Linear Systems
- Stability of Nonlinear Systems
- Method of Lyapunov Functions
- Two-Dimensional Systems
- Second Order Linear Equations
- The Index Theory and Brouwer Degree
- Introduction to Perturbation Methods
Readership: Graduate students in mathematics, applied mathematics, and engineering.
