Noise Induced Dissipation in Lebesgue-measure Preserving Maps on D−dimensional Torus

@inproceedings{NoiseID,
  title={Noise Induced Dissipation in Lebesgue-measure Preserving Maps on D−dimensional Torus},
  author={}
}
    We consider dissipative systems resulting from the Gaussian and alpha-stable noise perturbations of measure-preserving maps on the d dimensional torus. We study the dissipation time scale and its physical implications as the noise level ε vanishes. We show that nonergodic maps give rise to an O(1/ε) dissipation time whereas ergodic toral automorphisms… CONTINUE READING