Review of concepts of stability

Concepts of stability are reviewed, emphasizing global aspects as well as specific applications to dynamics and celestial mechanics. Historical and fundamental aspects of the concept of stability are discussed, and major stability concepts are examined, including Hill's stability, Liapunov'...

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Bibliographic Details
Published in:Celestial Mechanics 1984-09, Vol.34 (1-4), p.49-64
Main Author: Szebehely, Victor
Format: Article
Language:English
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Summary:Concepts of stability are reviewed, emphasizing global aspects as well as specific applications to dynamics and celestial mechanics. Historical and fundamental aspects of the concept of stability are discussed, and major stability concepts are examined, including Hill's stability, Liapunov's and Poincare's stability, and Kolmogorov's tori. Short definitions are given of various concepts and terminologies used in stability research. Problems of fundamental importance are identified and lines of future research are suggested.
ISSN:0008-8714
1572-9478
DOI:10.1007/BF01235791