Modeling By Nonlinear Differential Equations: Dissipative And Conservative Processes
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A01=Paul Phillipson
A01=Peter Schuster
Analysis and Differential Equations
Analytical Dynamics
Author_Paul Phillipson
Author_Peter Schuster
Biomathematics
Biophysics
Category=PBKJ
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eq_isMigrated=2
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Mathematical Biology
Mathematical Modeling
Nonlinear Differential Equations
Product details
- ISBN 9789814271592
- Publication Date: 01 Oct 2009
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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
