Modeling By Nonlinear Differential Equations: Dissipative And Conservative Processes

by Paul Phillipson , Peter Schuster

Book Details

Format Hardback or Cased Book

Book Series World Scientific Series on Nonlinear Science Series A

ISBN-10 9814271594

ISBN-13 9789814271592

Publisher World Scientific Publishing Co Pte Ltd

Imprint World Scientific Publishing Co Pte Ltd

Country of Manufacture SG

Country of Publication GB

Publication Date Oct 1st, 2009

Print length 240 Pages

Weight 594 grams

Dimensions 25.60 x 17.30 x 1.60 cms

Product Classification: Differential calculus & equations

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Ksh 15,650.00

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Offers mathematical analyses of nonlinear differential equations, which have proved pivotal to understanding many phenomena in physics, chemistry and biology. This focuses on topics such as nonlinear oscillations, deterministic chaos, solitons, reaction-diffusion-driven chemical pattern formation, neuron dynamics and autocatalysis.

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

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