Berlin 2012 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 29: Posters II
DY 29.7: Poster
Thursday, March 29, 2012, 17:00–19:00, Poster A
Trapping of chaotic orbits in 4D maps — Arnd Bäcker1,2, Roland Ketzmerick1,2, •Steffen Lange1, and Martin Richter1 — 1Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany — 2Max-Planck-Institut für Physik komplexer Systeme, 01187 Dresden, Germany
Generic Hamiltonian systems with more than two degrees of freedom lead to chaotic zones in phase space which are all interconnected by the Arnol’d web. We study 4D maps with a regular region embedded in a large chaotic sea, i.e. far away from the near-integrable regime. We investigate chaotic orbits trapped in the vicinity of the regular region for long times. These are visualized by 3D sections of the 4D phase space. We search for the trapping mechanism by analyzing the fractal dimension and time-dependent frequencies of trapped orbits.