Review of concepts of stability

Details Review of concepts of stability Review of concepts of stability

Dec 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..34...49s&link_type=abstract

(Bundesministerium für Wissenschaft und Forschung of Austria, Alexander von Humboldt Colloquium on Celestial Mechanics: The Stab

Mathematics

Dynamical Systems

14

Dynamical Systems, Systems Stability, Celestial Mechanics, Hill Method, Liapunov Functions, Poincare Problem

Scientific paper

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.

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