Format:
1 online resource
Edition:
with a new foreword by Philip J. Holmes
ISBN:
9781400882694
Series Statement:
Annals of Mathematics Studies number 77
Content:
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 N-body problem. They seek to find solutions to the equations of motion for N masspoints interacting with an inverse-square-law force and to determine whether there are quasi-periodic 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 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 entrées to the fascinating worlds of order and chaos in dynamics
Note:
Description based on online resource; title from PDF title page (publisher's Web site, viewed Mar. 30, 2016)
,
In English
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 0-691-08132-8
Language:
English
Subjects:
Mathematics
Keywords:
Dynamisches System
;
Stabilität
;
Himmelsmechanik
;
Dynamisches System
;
Mechanik
;
Vielkörperproblem
DOI:
10.1515/9781400882694
URL:
Volltext
(URL des Erstveröffentlichers)
Author information:
Moser, Jürgen 1928-1999
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