Berlin 2008 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 17: Poster I

DY 17.6: Poster

Dienstag, 26. Februar 2008, 16:00–18:00, Poster C

New methods for determining Poincaré recurrence times — Roland Ketzmerick and •Matthias Michler — Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany

The distribution of Poincaré recurrence times in Hamiltonian systems typically shows a power-law decay. This is due to the self-similar phase-space structure at the interface of regular and chaotic regions. It is still an open question if at large times this decay has a universal exponent and further numerical investigations are needed. The standard numerical approaches, however, waste most of the computing effort on the short time behaviour. We present two new methods for determining the Poincaré recurrence time statistics, which circumvent this disadvantage.