Hyperbolicity and Sensitive Chaotic Dynamics at Homoclinic Bifurcations: Fractal Dimensions and Infinitely Many Attractors in Dynamics

by Floris Takens and Jacob Palis Jr.

Book Overview

This is a self-contained introduction to the classical theory of homoclinic bifurcation theory, as well as its generalizations and more recent extensions to higher dimensions. It is also intended to stimulate new developments, relating the theory of fractal dimensions to bifurcations, and concerning homoclinic bifurcations as generators of chaotic dynamics. The book begins with a review chapter giving background material on hyperbolic dynamical systems...

• Format: Paperback
• Language: English
• ISBN: 0521475724
• ISBN13: 9780521475723
• Release Date: January 1995
• Publisher: Cambridge University Press
• Length: 248 Pages
• Weight: 0.75 lbs.
• Dimensions: 0.8" x 6.0" x 8.9"