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Nonlinear Dynamics

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This title has free online support material available.


  • Page extent: 316 pages
  • Size: 247 x 174 mm
  • Weight: 0.7 kg

Library of Congress

  • Dewey number: 515/.352
  • Dewey version: 21
  • LC Classification: QA614.8 .M428 2001
  • LC Subject headings:
    • Differentiable dynamical systems
    • Nonlinear theories

Library of Congress Record

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 (ISBN-13: 9780521551861 | ISBN-10: 0521551862)

DOI: 10.2277/0521551862

Manufactured on demand: supplied direct from the printer

 (Stock level updated: 17:01 GMT, 26 November 2015)


A systematic and comprehensive introduction to the study of nonlinear dynamical systems, in both discrete and continuous time, for nonmathematical students and researchers working in applied fields. An understanding of linear systems and the classical theory of stability are essential although basic reviews of the relevant material are provided. Further chapters are devoted to the stability of invariant sets, bifurcation theory, chaotic dynamics and the transition to chaos. In the final two chapters the authors approach the subject from a measure-theoretical point of view and compare results to those given for the geometrical or topological approach of the first eight chapters. Includes about one hundred exercises. A Windows-compatible software programme called DMC, provided free of charge through a website dedicated to the book, allows readers to perform numerical and graphical analysis of dynamical systems. Also available on the website are computer exercises and solutions to selected book exercises. See

• 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


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.


'… 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

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