Fluctuation-dissipation relationship in chaotic dynamics
We consider a general N-degree-of-freedom dissipative system that exhibits chaotic behavior. Based on a Fokker-Planck description associated with the dynamics, we establish that the drift and the diffusion coefficients can be related through a set of stochastic parameters that characterize the steady state of the dynamical system in a way similar to the fluctuation-dissipation relation in nonequilibrium statistical mechanics. The proposed relationship is verified by numerical experiments on a driven double-well system.
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