Description: Chaotic Dynamics In Hamiltonian Systems: With Applications To Celestial MechanicsAuthor(s): Harry Dankowicz Format: Hardback Publisher: World Scientific Publishing Co Pte Ltd, Singapore Imprint: World Scientific Publishing Co Pte Ltd ISBN-13: 9789810232214, 978-9810232214 Synopsis 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 [url] 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 [url] 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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Book Title: Chaotic Dynamics In Hamiltonian Systems: With Applications To ...
Publisher: World Industries Scientific Publishing Co Pte LTD
Publication Year: 1997
Subject: Computer Science, Mechanics, Mathematics
Number of Pages: 224 Pages
Language: English
Publication Name: Chaotic Dynamics in Hamiltonian Systems: with Applications to Celestial Mechanics
Type: Textbook
Author: Harry Dankowicz
Series: World Scientific Series on Nonlinear Science Series a
Format: Hardcover
