


Stable and Random Motions in Dynamical Systems: 
For centuries, astronomers have been interested in the motions of the planets and in methods to calculate their orbits. Since Newton, mathematicians have been fascinated by the related Nbody problem. They seek to find solutions to the equations of motion for N masspoints interacting with an inversesquarelaw force and to determine whether there are quasiperiodic orbits or not. Attempts to answer such questions have led to the techniques of nonlinear dynamics and chaos theory. In this book, a classic work of modern applied mathematics, Jürgen Moser presents a succinct account of two pillars of the theory: stable and chaotic behavior. He discusses cases in which Nbody motions are stable, covering topics such as Hamiltonian systems, the (Moser) twist theorem, and aspects of KolmogorovArnoldMoser theory. He then explores chaotic orbits, exemplified in a restricted threebody 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 manybody systems and in fundamental ideas and methods for their analysis. After thirty years, Moser's lectures are still one of the best entrées to the fascinating worlds of order and chaos in dynamics. Series: Subject Areas:
Hardcover published in 1973  
 
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