Nonlinear Dynamics
A Two-Way Trip from Physics to Math

Nonlinear Dynamics: A Two-Way Trip from Physics to Math provides readers with the mathematical tools of nonlinear dynamics to tackle problems in all areas of physics. The selection of topics emphasizes bifurcation theory and topological analysis of dynamical systems. The book includes real-life problems and experiments as well as exercises and worked examples to test understanding.

Acknowledgments. Preface. Nonlinear dynamics in nature. Linear dynamics. Nonlinear examples. Elements of the description. Elementary stability theory. Bi-dimensional flows. Bifurcations. Numerical experiments. Global bifurcations: I. Horseshoes. One-dimensional maps. Topological structure of three-dimensional flows. The dynamics behind data. Perturbative methods: averaging. Bifurcations and symmetries. Global bifurcations: II. References. Index

Professional

The aim of this book is to provide the reader with the mathematical tools from nonlinear dynamics needed to tackle problems in all areas of physics. It is a comprehensive textbook for advanced courses on nonlinear dynamics and chaos or a supplementary reader for introductory courses. The selection of topics emphasizes bifurcation theory and topological analysis of dynamical systems. Contact with real problems and experiments is made throughout. Exercises and worked examples are provided to test understanding.