Mathematics – Dynamical Systems
Scientific paper
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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