Chaos and Noise in a Truncated Toda Potential
chao-dyn
2016-04-06 v2 Astrophysics
Chaotic Dynamics
Abstract
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.
Cite
@article{arxiv.chao-dyn/9406011,
title = {Chaos and Noise in a Truncated Toda Potential},
author = {Salman Habib and Henry E. Kandrup and M. Elaine Mahon},
journal= {arXiv preprint arXiv:chao-dyn/9406011},
year = {2016}
}
Comments
10 pages uuencoded PostScript (figures included), (A trivial mathematical error leading to an erroneous conclusion is corrected)