Nonlinear Dynamics: A two way trip from Physics to Math

Many situations in the real world can only be described by nonlinear interactions and this graduate text provides the reader with the mathematical tools of nonlinear dynamics which can be used to tackle problems in all areas of physics. Key ideas are conveyed within their mathematical framework and real problems and experiments are used throughout the book. The presentation style follows the induction-deduction process which is typical of actual scientific research.

The book presents rigorous results of nonlinear dynamics focusing on the intuitive motivations used to develop and apply these results and the topic selection emphasizes bifurcation theory and topological analysis of dynamical systems.

Nonlinear Dynamics: A Two Way Trip From Physics to Math constitutes a comprehensive textbook for advanced courses on nonlinear dynamics and chaos or a supplementary text for introductory courses and is suitable for postgraduate students and researchers in the fields of physics, mathematics and engineering. On completion of this book the reader will be fully equipped with sufficient knowledge to be able to perform research in nonlinear dynamics.