[内容简介]
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 autocatalysis and dynamics of molecular evolution, relaxation oscillations, deterministic chaos, reaction diffusion driven chemical pattern formation, solitons and neuron dynamics. Included is a discussion of processes from the viewpoints 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.
[目次]
Table of Contents
1 Theme and Contents of this Book
2 Processes in Closed and Open Systems
3 Dynamics of Molecular Evolution
4 Relaxation Oscillations
5 Order and Chaos
6 Reaction Diffusion Dynamics
7 Solitons
8 Neuron Pulse Propagation
9 Time Reversal, Dissipation and Conservation
Bibliography
Index