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, react...
| Основен автор: | Phillipson, Paul E. 1933- |
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| Автор-организации: | World Scientific (Firm) |
| Други автори: | Schuster, P. 1941- |
| Формат: | Електронна книга |
| Език: | English |
| Публикувано: |
Singapore ; Hackensack, N.J. :
World Scientific Pub. Co.,
℗♭2009.
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| Серия: |
World Scientific series on nonlinear science. Monographs and treatises ;
v. 69. |
| Предмети: | |
| Онлайн достъп: |
http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=340581 |
| Резюме: |
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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| Физически характеристики: |
1 online resource (xi, 225 pages) : illustrations (some color). |
| Библиография: |
Includes bibliographical references (pages 213-222) and index. |
| ISBN: |
9789814271608 9814271608 |