Institute of Physics, University of Augsburg, Universitätstr.1, D-86159 Augsburg, Germany.
Chaos. 2011 Dec;21(4):043123. doi: 10.1063/1.3658622.
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.
阿诺德扩散是一种动力学现象，当系统自由度数量 M≥3 时，可能会在非可积哈密顿系统的相空间中发生。扩散是由共振通道的网状结构介导的，这种结构贯穿相空间，允许系统探索整个能量壳。阿诺德扩散是一个缓慢的过程；因此，网状结构的映射是一项非常耗时的任务。我们证明，使用图形处理单元-超级计算机探索阿诺德网络可以将速度提高两个数量级，与基于标准 CPU 的模拟相比。
