Berlin 2012 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 10: Nonlinear Dynamics, Synchronisation and Chaos
DY 10.4: Talk
Tuesday, March 27, 2012, 10:15–10:30, MA 001
Frequency Analysis of Diffusion Processes in Coupled Standard Maps Using Graphics Cards — •Moritz Schönwetter1,2, Sebastian Schröter2, Peter Schlagheck3, and Javier Madroñero2 — 1MPIPKS Dresden — 2TU München — 3Université de Liège, Belgium
An accurate description of phenomena arising in higher dimensional classical systems – e.g. dynamical tunneling [1] or stickiness [2] – requires the knowledge of the long term behaviour of a huge number of trajectories. This involves numerically challenging calculations which nowadays can be solved on reasonable time-scales with the use of modern Graphic Processing Units (GPUs).
In the present contribution we consider the complex dynamics of two coupled standard maps. Using the methods of (time-) frequency analysis [3] and classical perturbation theory we investigate the associated Arnold web of resonances in appropriate coordinates. Special attention is dedicated to possible diffusion channels which are observed in the long-time evolution of this web.
[1] O. Brodier, P. Schlagheck, D. Ullmo; Ann. Phys. 300 (2002), 88.
[2] E. Altmann, H. Kantz; Europhys. Lett. 78 (2007), 10008.
[3] J. Laskar; Physika D 67 (1993), 257.