Practical Numerical Algorithms for Chaotic Systems - Tapa dura

Parker, Thomas S; Chua, Leon

 
9780387966892: Practical Numerical Algorithms for Chaotic Systems
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ISBN 10: 0387966897 ISBN 13: 9780387966892
Editorial: Springer-Verlag New York Inc., 1991

Sinopsis

One of the basic tenets of science is that deterministic systems are completely predictable-given the initial condition and the equations describing a system, the behavior of the system can be predicted 1 for all time. The discovery of chaotic systems has eliminated this viewpoint. Simply put, a chaotic system is a deterministic system that exhibits random behavior. Though identified as a robust phenomenon only twenty years ago, chaos has almost certainly been encountered by scientists and engi­ neers many times during the last century only to be dismissed as physical noise. Chaos is such a wide-spread phenomenon that it has now been reported in virtually every scientific discipline: astronomy, biology, biophysics, chemistry, engineering, geology, mathematics, medicine, meteorology, plasmas, physics, and even the social sci­ ences. It is no coincidence that during the same two decades in which chaos has grown into an independent field of research, computers have permeated society. It is, in fact, the wide availability of inex­ pensive computing power that has spurred much of the research in chaotic dynamics. The reason is simple: the computer can calculate a solution of a nonlinear system. This is no small feat. Unlike lin­ ear systems, where closed-form solutions can be written in terms of the system's eigenvalues and eigenvectors, few nonlinear systems and virtually no chaotic systems possess closed-form solutions.

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Reseña del editor

One of the basic tenets of science is that deterministic systems are completely predictable-given the initial condition and the equations describing a system, the behavior of the system can be predicted 1 for all time. The discovery of chaotic systems has eliminated this viewpoint. Simply put, a chaotic system is a deterministic system that exhibits random behavior. Though identified as a robust phenomenon only twenty years ago, chaos has almost certainly been encountered by scientists and engi­ neers many times during the last century only to be dismissed as physical noise. Chaos is such a wide-spread phenomenon that it has now been reported in virtually every scientific discipline: astronomy, biology, biophysics, chemistry, engineering, geology, mathematics, medicine, meteorology, plasmas, physics, and even the social sci­ ences. It is no coincidence that during the same two decades in which chaos has grown into an independent field of research, computers have permeated society. It is, in fact, the wide availability of inex­ pensive computing power that has spurred much of the research in chaotic dynamics. The reason is simple: the computer can calculate a solution of a nonlinear system. This is no small feat. Unlike lin­ ear systems, where closed-form solutions can be written in terms of the system's eigenvalues and eigenvectors, few nonlinear systems and virtually no chaotic systems possess closed-form solutions.

Reseña del editor

The goal of this book qre to present an elementary introduction on chaotic systems for the non-specialist, and to present and extensive package of computer algorithms ( in the form of pseudocode) for simulating and characterizing chaotic phenomena. These numerical algorithms have been implemented in a software package called INSITE (Interactive Nonlinear System Investigative Toolkit for Everyone) which is being distributed separately.

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Editorial
Springer-Verlag New York Inc.
Año de publicación
1991
Idioma
Inglés
ISBN 10 
0387966897
ISBN 13 
9780387966892
Encuadernación
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Número de páginas
362
Contacto del fabricante
no disponible
Persona responsable
CMN Printpool Inh. Mathis Neumann
https://www.also.com/ec/cms5/en_6000/6000/index.jsp

Friedrich-Karl-Str. 9
Hamburg
Alemania

Otras ediciones populares con el mismo título

9781461281214: Practical Numerical Algorithms for Chaotic Systems

Edición Destacada

ISBN 10:  1461281210 ISBN 13:  9781461281214
Editorial: Springer, 2011
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