Introduction to Dynamical Systems

Zusammenfassung In recent years there has been an explosion of research centred on the appearance of so-called 'chaotic behaviour'. This book provides a largely self contained introduction to the mathematical structures underlying models of systems whose state changes with time! and which therefore may exhibit this sort of behaviour. Inhaltsverzeichnis Preface; 1. Diffeomorphisms and flows; 2. Local properties of flow and diffeomorphims; 3. Structural stability, hyperbolicity and homoclinic points; 4. Local bifurcations I: planar vector fields and diffeomorphisms on R; 5. Local bifurcations II: diffeomorphisms on R2; 6. Area-preserving maps and their perturbations; Hints for exercises; References; Index.

Product details

• Authors: D. K. Arrowsmith, D. K. Place Arrowsmith, D.k. Place Arrowsmith, Arrowsmith D. K., Arrowsmith/Place, C. H. Place, C. M. Place, Place C. M.
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 27.07.1990
• EAN: 9780521316507
• ISBN: 978-0-521-31650-7
• No. of pages: 432
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > General, dictionaries; Non-fiction book > Nature, technology > Astronomy: general, reference works; MATHEMATICS / Differential Equations / General, Differential calculus & equations, Differential calculus and equations