Practical Numerical Algorithms for Chaotic Systems

Parker, Thomas S.; Chua, Leon

ISBN 10: 0387966897 / ISBN 13: 9780387966892

Published by Springer, 1991

About this Item

Hardcover book. The exterior can have some minor wear. There is a signature or handwriting on the inside front cover. All items ship Monday - Saturday - Fast Shipping in a secure package. Your purchase will help support the programs and collections of the Johnson County (Kansas) Library.

Seller Inventory # 53DTTR000R6J

Bibliographic Details

• Title: Practical Numerical Algorithms for Chaotic Systems
• Publisher: Springer
• Publication Date: 1991
• Language: English
• ISBN 10: 0387966897
• ISBN 13: 9780387966892
• Binding: Hardcover
• Condition: Good

About this title

Synopsis

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.