Stochastic chaos: An analog of quantum chaos

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.