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Modeling By Nonlinear Differential Equations: Dissipative And Conservative Processes

Modeling By Nonlinear Differential Equations: Dissipative And Conservative Processes (Hardback)

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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 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

Science & MathematicsMathematicsCalculus & mathematical analysisDifferential calculus & equations Publisher: World Scientific Publishing Co Pte Ltd Publication Date: 01/10/2009 ISBN-13: 9789814271592  Details: Type: Hardback Format: Books
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