Analytical methods in chaos research

Author: Liu Zengrong
Publisher:
Publish Date: 2002-01-01
Features: This book introduces two main analytical methods in chaos research—Smale horseshoe existence determination and the Melnikov method. These methods can be applied to both low-dimensional and high-dimensional dynamical systems. It also provides an introduction to the recent developments of these methods in infinite-dimensional dynamical systems. Due to the principle of combining theoretical and practical aspects, the book omits some mathematical proofs and can serve as a textbook for graduate students in applied mathematics and related engineering and science disciplines.