Chaotic Dynamics In Hamiltonian Systems: With Applications To Celestial Mechanics

In the past hundred years investigators have learned the significance of complex behavior in deterministic systems.\n\nThe 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.Chaotic Dynamics In Hamiltonian Systems: With Applications To Celestial Mechanics is written by Dankowicz Harry and published by World Scientific. ISBNs for Chaotic Dynamics In Hamiltonian Systems: With Applications To Celestial Mechanics are 9789812796288, 9812796282 and the print ISBNs are 9789810232214, 9810232217.