Nonlinear Dynamics
This textbook on the theory of nonlinear dynamical systems for nonmathematical advanced undergraduate or graduate students is also a reference book for researchers in the physical and social sciences. It provides a comprehensive introduction including linear systems, stability theory of nonlinear systems, bifurcation theory, chaotic dynamics. Discussion of the measure--theoretic approach to dynamical systems and the relation between deterministic systems and stochastic processes is featured. There are a hundred exercises and an associated website provides a software program, computer exercises and answers to selected book exercises.
- Medio is a star name in the dynamics field, with a track record of major sales success with the Press
- The latest book in the Press's highly successful dynamics program
- Part of a complete teaching unit, including exercises, an associated website, and a Windows-compatible software program to offer a fuller understanding of dynamics
Reviews & endorsements
'… the book is well written and contains lots of useful information. It will serve as a good reference on dynamical systems both for students and researchers.' Zentralblatt für Mathematik und ihre Grenzgebiete Mathematics Abstracts
Product details
November 2001Paperback
9780521558747
316 pages
244 × 170 × 17 mm
0.61kg
Available
Table of Contents
- 1. Statics and dynamics: some elementary concepts
- 2. Review of linear systems
- 3. Stability of fixed points
- 4. Invariant and attracting sets, periodic and quasiperiodic orbits
- 5. Local bifurcations
- 6. Chaotic sets and chaotic attractors
- 7. Characteristic exponents, fractals, homoclinic orbits
- 8. Transition to chaos
- 9. The ergodic approach
- 10. Deterministic systems and stochastic processes.