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arxiv: chao-dyn/9306005 · v1 · submitted 1993-06-10 · chao-dyn · nlin.CD

Stochastic chaos: An analog of quantum chaos

classification chao-dyn nlin.CD
keywords transitionchaosequationequationshamiltonnonlinearanalogclass
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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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