Stochastic chaos: An analog of quantum chaos
arXiv:chao-dyn/9306005 · doi:10.1063/1.44612
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 Schrödinger 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.
arXiv commentUuencoded compressed postscript file, 4 pages, 3 figs