Introduction to Nonlinear Science

by Gregoire Nicolis

One of the most unexpected results in science in recent years is that quite ordinary systems obeying simple laws can give rise to complex, nonlinear or chaotic, behavior. In this book, the author presents a unified treatment of the concepts and tools needed to analyze nonlinear phenomena and to outline some representative applications drawn from the physical, engineering, and biological sciences. Some of the interesting topics covered include: dynamical systems with a finite number of degrees of freedom, linear stability analysis of fixed points, nonlinear behavior of fixed points, bifurcation analysis, spatially distributed systems, broken symmetries, pattern formation, and chaotic dynamics. The author makes a special effort to provide a logical connection between ordinary dynamical systems and spatially extended systems, and to balance the emphasis on chaotic behavior and more classical nonlinear behavior. He also develops a statistical approach to complex systems and compares it to traditional deterministic phase space descriptions. This book is suitable for senior undergraduate and graduate students taking nonlinear courses from many different perspectives including physics, chemistry, biology, and engineering.

272 pages, Paperback

First published June 22, 1995

About the author

Grégoire Nicolis was a Belgian physicist originally from Greece. His promotor was Ilya Prigogine at the Université Libre de Bruxelles. He is known for his work on irreversible thermodynamics and chaos theory.

Reviews

[Ali Shah · Rating 2 out of 5]

an idiotic book where writer shows off his English skills and tries to generalize the book by presenting name "science" mostly book states about chemical examples and nothing much to do with other subject .... non linear chemistry would be a better name