English

Stochastic chaos: An analog of quantum chaos

chao-dyn 2009-10-22 v1 Chaotic Dynamics

Abstract

Some intriging connections between the properties of nonlinear noise driven systems and the nonlinear dynamics of a particular set of Hamilton's equation are discussed. A large class of Fokker-Planck Equations, like the Schr\"odinger equation, can exhibit a transition in their spectral statistics as a coupling parameter is varied. This transition is connected to the transition to non-integrability in the Hamilton's equations.

Keywords

Cite

@article{arxiv.chao-dyn/9306005,
  title  = {Stochastic chaos: An analog of quantum chaos},
  author = {Mark M. Millonas},
  journal= {arXiv preprint arXiv:chao-dyn/9306005},
  year   = {2009}
}

Comments

Uuencoded compressed postscript file, 4 pages, 3 figs