MODELING BY NONLINEAR DIFFERENTIAL EQUATIONS: DISSIPATIVE AND CONSERVATIVE PROCESSES (World Scientific Nonlinear Science Series a) - Hardcover

Phillipson, Paul; Schuster, Peter

Hardcover

ISBN 10: 9814271594 ISBN 13: 9789814271592

Publisher: World Scientific Publishing Company, 2009

Synopsis

This book aims to provide mathematical analyses of nonlinear differential equations, which have proved pivotal to understanding many phenomena in physics, chemistry and biology. Topics of focus are nonlinear oscillations, deterministic chaos, solitons, reaction–diffusion-driven chemical pattern formation, neuron dynamics, autocatalysis and molecular evolution. Included is a discussion of processes from the vantage of reversibility, reflected by conservative classical mechanics, and irreversibility introduced by the dissipative role of diffusion. Each chapter presents the subject matter from the point of one or a few key equations, whose properties and consequences are amplified by approximate analytic solutions that are developed to support graphical display of exact computer solutions.

About this title

Review:

This is a quite unique book combining interesting models from key application areas which have been of long-standing interest in science and the mathematical tools for their qualitative analysis. --Heinz W Engl, Austrian Academy of Sciences

About this edition

• Publisher: World Scientific Publishing Company
• Publication date: 2009
• ISBN 10: 9814271594
• ISBN 13: 9789814271592
• Binding: Hardcover
• Number of pages: 240