CHAOTIC DYNAMICS IN HAMILTONIAN SYS(V25): With Applications to Celestial Mechanics (World Scientific Series on Nonlinear Science Series A) - Hardcover

H DANKOWICZ

Hardcover

ISBN 10: 9810232217 ISBN 13: 9789810232214

Verlag: World Scientific, 1997

Inhaltsangabe

In the past hundred years investigators have learned the significance of complex behavior in deterministic systems. The potential applications of this discovery are as numerous as they are encouraging.

This text clearly presents the mathematical foundations of chaotic dynamics, including methods and results at the forefront of current research. The book begins with a thorough introduction to dynamical systems and their applications. It goes on to develop the theory of regular and stochastic behavior in higher-degree-of-freedom Hamiltonian systems, covering topics such as homoclinic chaos, KAM theory, the Melnikov method, and Arnold diffusion. Theoretical discussions are illustrated by a study of the dynamics of small circumasteroidal grains perturbed by solar radiation pressure. With alternative derivations and proofs of established results substituted for those in the standard literature, this work serves as an important source for researchers, students and teachers.

Skillfully combining in-depth mathematics and actual physical applications, this book will be of interest to the applied mathematician, the theoretical mechanical engineer and the dynamical astronomer alike.

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Reseña del editor

In the past hundred years investigators have learned the significance of complex behavior in deterministic systems. The potential applications of this discovery are as numerous as they are encouraging.This text clearly presents the mathematical foundations of chaotic dynamics, including methods and results at the forefront of current research. The book begins with a thorough introduction to dynamical systems and their applications. It goes on to develop the theory of regular and stochastic behavior in higher-degree-of-freedom Hamiltonian systems, covering topics such as homoclinic chaos, KAM theory, the Melnikov method, and Arnold diffusion. Theoretical discussions are illustrated by a study of the dynamics of small circumasteroidal grains perturbed by solar radiation pressure. With alternative derivations and proofs of established results substituted for those in the standard literature, this work serves as an important source for researchers, students and teachers.Skillfully combining in-depth mathematics and actual physical applications, this book will be of interest to the applied mathematician, the theoretical mechanical engineer and the dynamical astronomer alike.

Reseña del editor

Combining in-depth mathematics with actual physical applications, this volume presents the mathematical foundations of chaotic dynamics, including methods and results at the forefront of current research. An introduction to dynamical systems and their applications is followed by the theory of regular and stochastic behaviour in higher-degree-of-freedom Hamiltonian systems.

Details zur Ausgabe

• Verlag: World Scientific
• Erscheinungsdatum: 1997
• Sprache: Englisch
• ISBN 10: 9810232217
• ISBN 13: 9789810232214
• Einband: Tapa dura
• Anzahl der Seiten: 224
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar