Recurrence Time in the Homoclinic Tangle

Details Recurrence Time in the Homoclinic Tangle Recurrence Time in the Homoclinic Tangle

Jan 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996cemda..63..189c&link_type=abstract

Celestial Mechanics & Dynamical Astronomy, Volume 63, Issue 2, pp.189-197

Astronomy and Astrophysics

Astronomy

2

Recurrence, Unstable Periodic Orbits, Lobes

Scientific paper

We find the minimum recurrence time for the lobes of an unstable periodic orbit (i.e. the number of iterations required in order that an image of a given lobe intersects itself). This time is much shorter than the usual recurrence time derived by applying Poincaré's theorem. As the energy of the system increases the minimum recurrence time decreases. The minimum recurrence time can be found also when the energy exceeds the escape energy, in which case the usual Poincaré recurrence time is not defined.

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