Practical Numerical Algorithms for Chaotic Systems - Rilegato

Parker, Thomas S.; Chua, Leon O.

 
9780387966892: Practical Numerical Algorithms for Chaotic Systems
Rilegato
ISBN 10: 0387966897 ISBN 13: 9780387966892
Casa editrice: Springer Verlag, 1991

Sinossi

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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Contenuti

Contents: Steady-State Solutions.- Poincaré Maps.- Stability.- Integration.- Locating Limit Sets.- Manifolds.- Dimension.- Bifurcation Diagrams.- Programming.- Phase Portraits.- The Newton-Raphson Algorithm.- The Variational Equation.- Differential Topology.- The Poincaré Map.- One Lyapunov Exponent Vanishes.- Cantor Sets.- List ot Symbols.- Bibliography.- Index.

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Editore
Springer Verlag
Data di pubblicazione
1991
Lingua
Inglese
ISBN 10 
0387966897
ISBN 13 
9780387966892
Rilegatura
Copertina rigida
Numero di pagine
362
Contatto del produttore
non disponibile
Persona responsabile
CMN Printpool Inh. Mathis Neumann
https://www.also.com/ec/cms5/en_6000/6000/index.jsp

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Hamburg
Germania

Altre edizioni note dello stesso titolo

9781461281214: Practical Numerical Algorithms for Chaotic Systems

Edizione in evidenza

ISBN 10:  1461281210 ISBN 13:  9781461281214
Casa editrice: Springer, 2011
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