HOT ! Stable and Random Motions in Dynamical S

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Stable and Random Motions in Dynamical Systems : With Special Emphasis on Celestial Mechanics

By Jurgen Moser

a classic work of modern applied mathematics, Jurgen Moser presents a succinct account of two pillars of the theory: stable and chaotic behavior. He discusses cases in which N-body motions are stable, covering topics such as Hamiltonian systems, the (Moser) twist theorem, and aspects of Kolmogorov-Arnold-Moser theory. He then explores chaotic orbits, exemplified in a restricted three-body problem, and describes the existence and importance of homoclinic points. This book is indispensable for mathematicians, physicists, and astronomers interested in the dynamics of few- and many-body systems and in fundamental ideas and methods for their analysis.
After thirty years, Moser's lectures are still one of the best entrees to the fascinating worlds of order and chaos in dynamics.

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