Non local spiraling characteristic curves.

Details Non local spiraling characteristic curves. Non local spiraling characteristic curves.

Jan 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988ltdb.conf..385f&link_type=abstract

NATO Advanced Study Institute on Long-Term Dynamical Behaviour of Natural and Artificial N-Body Systems, p. 385 - 391

Physics

2

Potential Theory: Celestial Mechanics

Scientific paper

In a quartic potential introduced by B. Barbanis, he found characterstic curves of symmetric periodic orbits which look like finite spirals. Considering a one parameter family of potentials including the previous one the authors have found also characteristic curves which are finite spirals around a finite curve that is built up from heteroclinic connections between a symmetrical couple of Lyapunov orbits. This allows to explain in a very geometric way the results of B. Barbanis.

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