Stable and Random Motions in Dynamical Systems: With Special Emphasis on Celestial Mechanics - Princeton Landmarks in Mathematics and Physics (Paperback) by Jurgen Moser
For centuries, astronomers were interested in the movement of planets and the ways in which their orbits were calculated. Since Newton, mathematicians have been fascinated by the problem of N-body-related.…
Stable and Random Motions in Dynamical Systems synopsis
For centuries, astronomers were interested in the movement of planets and the ways in which their orbits were calculated. Since Newton, mathematicians have been fascinated by the problem of N-body-related.
They seek solutions to the N N mass equations that interact with the force of the inverse square law and to determine if there are semi-periodic orbits. Attempts to answer such questions have led to techniques of nonlinear dynamics and chaos theory.
In this book, a classic work of modern applied mathematics, Jürgen Moser presents a brief account of two areas of theory: stable and chaotic behavior. Discusses issues in which N-body movements are stable, covering topics such as Hamiltonton's systems, the twisted Moser theory, and the Kolmogorov-Arnold-Moser theory.
He then explores anarchic orbits, manifested in a problem with three limited bodies, and describes the existence and significance of homoclinic points. This book is indispensable for athletes, physicists and astronomers interested in the dynamics of a few body-dense systems and in the basic ideas and methods of analysis.
Thirty years later, Moses' lectures are still one of the best introductions to the great worlds of order and chaos in dynamics.
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