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Modeling by nonlinear differential e...

Phillipson, Paul E. (1933-)

Modeling by nonlinear differential equationsdissipative and conservative processes /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Modeling by nonlinear differential equationsPaul E. Phillipson, Peter Schuster.
Reminder of title:	dissipative and conservative processes /
Author:	Phillipson, Paul E.
other author:	Schuster, P.
Published:	Singapore ;World Scientific Pub. Co.,c2009.
Description:	xi, 225 p. :ill. (some col.)
Subject:	Differential equations, Nonlinear.
Online resource:	http://www.worldscientific.com/worldscibooks/10.1142/7262#t=toc
ISBN:	9789814271608 (electronic bk.)

Modeling by nonlinear differential equationsdissipative and conservative processes /
Phillipson, Paul E.1933-

Modeling by nonlinear differential equationsdissipative and conservative processes /[electronic resource] :Paul E. Phillipson, Peter Schuster. - Singapore ;World Scientific Pub. Co.,c2009. - xi, 225 p. :ill. (some col.) - World Scientific series on nonlinear science. Series A ;v. 69. - World Scientific series on nonlinear science.Series A,Monographs and treatises ;v. 45..

Includes bibliographical references (p. 213-222) and index.

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.

Electronic reproduction.
Singapore :
World Scientific Publishing Co.,
2009.

System requirements: Adobe Acrobat Reader.

ISBN: 9789814271608 (electronic bk.)Subjects--Topical Terms:

185178
Differential equations, Nonlinear.

LC Class. No.: QA372

Dewey Class. No.: 515.35

Modeling by nonlinear differential equationsdissipative and conservative processes /
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300 $a xi, 225 p. : $b ill. (some col.)
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504 $a Includes bibliographical references (p. 213-222) and index.
520 $a 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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