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

Dissipative and Conservative Processes

Paul Phillipson, Peter Schuster (Autoren)

eBook Download: PDF

2009
240 Seiten
World Scientific Publishing Company (Verlag)
978-981-4271-60-8 (ISBN)

Infos

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

Produkt-Details

• Erscheint lt. Verlag: 29.9.2009
• Reihe/Serie: World Scientific Series On Nonlinear Science Series A
• Verlagsort: Singapore
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• ISBN-10: 981-4271-60-8 / 9814271608
• ISBN-13: 978-981-4271-60-8 / 9789814271608