Classification of Poincare-type unstable periodic orbits

Details Classification of Poincare-type unstable periodic orbits Classification of Poincare-type unstable periodic orbits

Jun 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978crasm.286.1071v&link_type=abstract

Academie des Sciences (Paris), Comptes Rendus, Serie A - Sciences Mathematiques, vol. 286, no. 22, June 5, 1978, p. 1071-1074. I

Mathematics

Classifications, Motion Stability, Orbital Mechanics, Foci, Points (Mathematics), Roots Of Equations

Scientific paper

The author's (1978) previously described approach is applied to Lagrangian systems with two degrees of freedom for the purpose of classifying unstable periodic orbits. The only restrictions are that the system must be conservative and that the periodic orbit velocity must always be different from zero. Conjugated families and focal points are examined, and the number of focal points is calculated.

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