Stochastic chaos: An analog of quantum chaos

Details Stochastic chaos: An analog of quantum chaos Stochastic chaos: An analog of quantum chaos

1993-06-10

arxiv.org/abs/chao-dyn/9306005v1

Nonlinear Sciences

Chaotic Dynamics

Uuencoded compressed postscript file, 4 pages, 3 figs

Scientific paper

10.1063/1.44612

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.

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