Chaos and Noise in a Truncated Toda Potential

Details Chaos and Noise in a Truncated Toda Potential Chaos and Noise in a Truncated Toda Potential

1994-06-26

arxiv.org/abs/chao-dyn/9406011v2

Astronomy and Astrophysics

Astrophysics

10 pages uuencoded PostScript (figures included), (A trivial mathematical error leading to an erroneous conclusion is correcte

Scientific paper

Results are reported from a numerical investigation of orbits in a truncated Toda potential which is perturbed by weak friction and noise. Two significant conclusions are shown to emerge: (1) Despite other nontrivial behaviour, configuration, velocity, and energy space moments associated with these perturbations exhibit a simple scaling in the amplitude of the friction and noise. (2) Even very weak friction and noise can induce an extrinsic diffusion through cantori on a time scale much shorter than that associated with intrinsic diffusion in the unperturbed system.

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