Advanced Series in Dynamical Systems - Vol. 12
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS
by Luo Dingjun & Teng Libang (Nanjing Univ.)
This book deals with the global qualitative behavior of flows and diffeomorphisms. It presents a systematic study of the fundamental theory and method of dynamical systems, from local behavior near a critical (fixed) point or periodic orbit to the global, such as global structural stability, bifurcations and chaos. It emphasizes the global non-hyperbolicity and introduces some new results obtained by Chinese mathematicians which may not be widely known.
Contents:
- Preparations of Differentiable Manifolds and Differential
Topology
- Dynamical Systems on Manifolds
- Local Properties of Flows and Diffeomophisms
- Structural Stability and Bifurcations
- Chaotic Behavior
- Generic Properties
Readership: Pure and applied mathematicians and applied scientists.
"... a clear and easy-to-read introduction to dynamical systems in which one can find many definitions, much information and also some important proofs."
Robert Roussarie
Mathematical Reviews |
"The style of the book is brief and compact, and the selected materials are lucid and refined. Each topic is stated clearly from the simple to the profound. This book can serve both as an easy-reading introduction to the study field of dynamical systems for the beginner and as a valuable reference for the specialists."
Huang Qiyu
Mathematics Abstracts |
| 272pp |
Pub. date: Sept 1993 |
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