Mapping the Arnold web with a GPU-supercomputer

A. Seibert, S. Denisov, Alexey V. Ponomarev, P. Hanggi
Institute of Physics, University of Augsburg, Universitatstr. 1, D-86159 Augsburg, Germany
arXiv:1107.4107v1 [nlin.CD] (20 Jul 2011)


   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},




   keywords={Nonlinear Sciences – Chaotic Dynamics, Physics – Computational Physics},




   adsnote={Provided by the SAO/NASA Astrophysics Data System}


Download Download (PDF)   View View   Source Source   



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.
No votes yet.
Please wait...

* * *

* * *

* * *

HGPU group © 2010-2022 hgpu.org

All rights belong to the respective authors

Contact us: