Mapping the Arnold web with a GPU-supercomputer
Institute of Physics, University of Augsburg, Universitatstr. 1, D-86159 Augsburg, Germany
arXiv:1107.4107v1 [nlin.CD] (20 Jul 2011)
@article{2011arXiv1107.4107S,
author={Seibert}, A. and {Denisov}, S. and {Ponomarev}, A.~V. and {H{"a}nggi}, P.},
title={"{Mapping the Arnold web with a GPU-supercomputer}"},
journal={ArXiv e-prints},
archivePrefix={"arXiv"},
eprint={1107.4107},
primaryClass={"nlin.CD"},
keywords={Nonlinear Sciences – Chaotic Dynamics, Physics – Computational Physics},
year={2011},
month={jul},
adsurl={http://adsabs.harvard.edu/abs/2011arXiv1107.4107S},
adsnote={Provided by the SAO/NASA Astrophysics Data System}
}
The Arnold diffusion constitutes a dynamical phenomenon which may occur in the phase space of a non-integrable Hamiltonian system whenever the number of the system degrees of freedom is $M geq 3$. The diffusion is mediated by a web-like structure of resonance channels, which penetrates the phase space and allows the system to explore the whole energy shell. The Arnold diffusion is a slow process; consequently the mapping of the web presents a very time-consuming task. We demonstrate that the exploration of the Arnold web by use of a graphic processing unit (GPU)-supercomputer can result in distinct speedups of two orders of magnitude as compared to standard CPU-based simulations.
July 22, 2011 by hgpu
