World Scientific Publishing, 1992, 454 pages.

This book is based on a graduate course for scientists and engineers. The author's style is clear, formulations of mathematical results are precise. The book helps the reader to create a good global picture of the theory of dynamical systems. The author has gathered a considerable number of facts about dynamical systems in this book, including almost 1000 references, so that it can also serve as a handbook for mathematicians beginning to work in this area. The book is useful not only for technicians, but also for mathematicians, and we recommend it to anyone working in dynamical systems.

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.

This book is based on a graduate course for scientists and engineers. The author's style is clear, formulations of mathematical results are precise. The book helps the reader to create a good global picture of the theory of dynamical systems. The author has gathered a considerable number of facts about dynamical systems in this book, including almost 1000 references, so that it can also serve as a handbook for mathematicians beginning to work in this area. The book is useful not only for technicians, but also for mathematicians, and we recommend it to anyone working in dynamical systems.

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.