Modeling By Nonlinear Differential Equations: Dissipative And Conservative Processes

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

Product details

• Authors: Paul Phillipson, Paul (Univ Of Colorado Boulder Phillipson, Paul E. Phillipson, Peter Schuster, Peter (Univ Wien Schuster
• Publisher: World Scientific Publishing Company
• Languages: English
• Product format: Hardback
• Released: 01.10.2009
• EAN: 9789814271592
• ISBN: 978-981-4271-59-2
• No. of pages: 240
• Dimensions: 172 mm x 255 mm x 18 mm
• Weight: 599 g
• Series: World Scientific Series on Nonlinear Science Series A; World Scientific Series on Non; World Scientific Series on Nonlinear Science Series A; World Scientific Series on Non; World Scientific Nonlinear Sci
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Analysis