Vijay Kumar Patodi was a brilliant Indian mathematician who made, during his short life, fundamental contributions to the analytic proof of the index theorem and to the study of differential geometric invariations of manifolds. This volume includes his pathbreaking papers on the McKean-Singer conjec
Six Lectures on Dynamical Systems
โ Scribed by Aulbach B., Colonius F. (eds.)
- Publisher
- World Scientific
- Year
- 1996
- Tongue
- English
- Leaves
- 316
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
This volume consists of six articles covering different facets of the mathematical theory of dynamical systems. The topics range from topological foundations through invariant manifolds, decoupling, perturbations and computations to control theory. All contributions are based on a sound mathematical analysis. Some of them provide detailed proofs while others are of a survey character. In any case, emphasis is put on motivation and guiding ideas. Many examples are included. The papers of this volume grew out of a tutorial workshop for graduate students in mathematics held at the University of Augsburg. Each of the contributions is self-contained and provides an in-depth insight into some topic of current interest in the mathematical theory of dynamical systems. The text is suitable for courses and seminars on a graduate student level
๐ SIMILAR VOLUMES
353 pages.
"This book is devoted to chaotic nonlinear dynamics. It presents a consistent, up-to-date introduction to the field of strange attractors, hyperbolic repellers, and nonlocal bifurcations. The authors keep the highest possible level of "physical" intuition while staying mathematically rigorous. In ad