Modeling by Nonlinear Differential Equations: Dissipative and Conservative Processes (World Scientific Series on Nonlinear Science, Series a)
Paul E. Phillipson, Peter Schuster
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.
카테고리:
년:
2009
출판사:
World Scientific Publishing Company
언어:
english
페이지:
232
ISBN 10:
9814271594
ISBN 13:
9789814271592
시리즈:
World Scientific Series on Nonlinear Science, Series a
파일:
PDF, 16.28 MB
IPFS:
,
english, 2009