Mapping the Arnold web with a graphic processing unit.
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 ≥ 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-supercomputer can result in distinct speedups of two orders of magnitude as compared with standard CPU-based simulations.
Institute of Physics, University of Augsburg, Universitätstr.1, D-86159 Augsburg, Germany. armin.seibert@physik.uni-augsburg.de
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Seibert
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Denisov
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Ponomarev
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Hänggi
D000465:Algorithms; D003196:Computer Graphics / Q000295:instrumentation*; D003198:Computer Simulation; D003626:Data Display; D008838:Microcomputers; D017711:Nonlinear Dynamics; D012815:Signal Processing, Computer-Assisted / Q000295:instrumentation*