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Stochastic chaos: An analog of quantum chaos

Mark M. Millonas
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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.

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Mark M. Millonas. 1993-06-10. Stochastic chaos: An analog of quantum chaos. https://doi.org/10.1063/1.44612

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