Modeling by nonlinear differential equations : dissipative and conservative processes /

Modeling by nonlinear differential equations : dissipative and conservative processes /

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Bibliographic Details
Author / Creator:Phillipson, Paul E. (Paul Edgar), 1933-
Imprint:Singapore : World Scientific, c2009.
Description:xi, 225 p. : ill. (some col.) ; 26 cm.
Language:English
Series:World Scientific series on nonlinear science. Series A ; vol. 69
World Scientific series on nonlinear science. Series A, Monographs and treatises ; v. 69.
Subject:
Differential equations, Nonlinear.
Differential equations, Partial.
Mathematical models.
Differential equations, Nonlinear.
Differential equations, Partial.
Mathematical models.
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/7927622
Hidden Bibliographic Details
Other authors / contributors:Schuster, P. (Peter), 1941-
ISBN:9789814271592
9814271594
Notes:Includes bibliographical references (p. 213-222) and index.
Summary:"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."--back cover.

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