Modeling by Nonlinear Differential Equations: Dissipative and Conservative Processes (World Scientific Series on Nonlinear Science, Series a)

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9789814271592: Modeling by Nonlinear Differential Equations: Dissipative and Conservative Processes (World Scientific Series on Nonlinear Science, Series a)

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 nonlinear oscillations, deterministic chaos, solitons, reaction-diffusion-driven chemical pattern formation, neuron dynamics, autocatalysis and molecular evolution. Included is a discussion of processes from the vantage 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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This is a quite unique book combining interesting models from key application areas which have been of long-standing interest in science and the mathematical tools for their qualitative analysis. --Heinz W Engl, Austrian Academy of Sciences

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Book Description World Scientific Publishing Co Pte Ltd, Singapore, 2009. Hardback. Book Condition: New. 250 x 162 mm. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. 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. Bookseller Inventory # BTE9789814271592

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Book Description World Scientific Publishing Co Pte Ltd. Hardback. Book Condition: new. BRAND NEW, Modeling by Nonlinear Differential Equations: Dissipative and Conservative Processes, Paul E. Phillipson, Peter Schuster, 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 nonlinear oscillations, deterministic chaos, solitons, reaction-diffusion-driven chemical pattern formation, neuron dynamics, autocatalysis and molecular evolution. Included is a discussion of processes from the vantage 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. Bookseller Inventory # B9789814271592

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