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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Chaotic Dynamics in Hamiltonian Systems: With Applications to Celestial Mechanics

Chaotic Dynamics in Hamiltonian Systems: With Applications to Celestial Mechanics

Dankowicz, Harry

Hardcover

Series: World Scientific Nonlinear Science Series a, Book 25

General SciencePhysics

ISBN10: 9810232217
ISBN13: 9789810232214
Publisher: World Scientific Publishing Company
Published: Dec 17 1997
Pages: 224
Weight: 1.03
Height: 0.56 Width: 6.00 Depth: 9.00
Language: English
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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