Mapping the Arnold web with a GPU-supercomputer

A. Seibert; S. Denisov; A. V. Ponomarev; P. Hänggi

doi:10.1063/1.3658622

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arXiv · 1107.4107

Mapping the Arnold web with a GPU-supercomputer

A. Seibert·S. Denisov·A. V. Ponomarev·P. Hänggi

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Abstract

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.

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A. Seibert, S. Denisov, A. V. Ponomarev, P. Hänggi. 2011-12-21. Mapping the Arnold web with a GPU-supercomputer. https://doi.org/10.1063/1.3658622

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