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.
