On the classification of unstable periodic orbits according to Poincare

Details On the classification of unstable periodic orbits according to Poincare On the classification of unstable periodic orbits according to Poincare

May 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978crasm.286.1023v&link_type=abstract

Academie des Sciences (Paris) Comptes Rendus Serie A - Sciences Mathematiques, vol. 286, no. 21, May 29, 1978, p. 1023-1025. In

Mathematics

Celestial Mechanics, Classifications, Motion Stability, Orbits, Foci, Linear Equations, Poincare Problem, Points (Mathematics), Trajectories, Unsteady State

Scientific paper

The paper proposes an alternative to Poincare's classification of
linearly unstable periodic orbits associated with certain problems which
have two degrees of freedom. Poincare's approach, which is based on the
study of orbits in the configuration plane, is summarized. The new
approach, based on Morse's (1973) ideas, is explained.

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