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The communication of knowledge on nonlinear dynamical systems, between the mathematicians working on the analytic approach and the scientists working mostly on the applications and numerical simulations has been less than ideal. This volume hopes to bridge the gap between books written on the subject by mathematicians and those written by scientists. The second objective of this volume is to draw attention to the need for cross-fertilization of knowledge between the physical and biological scientists. The third aim is to provide the reader with a personal guide on the study of global nonlinear dynamical systems.
Contents:
- Introduction
- Topics in Topology and Differential Geometry
- Introduction to Global Analysis and Infinite Dimensional Manifolds
- General Theory of Dynamical Systems
- Stability Theory and Liapunov's Direct Method
- Introduction to the General Theory of Structural Stability
- Applications
Readership: Applied mathematicians and engineers.
