Colored Noise in Dynamical Systems

By Peter Häunggi, P. Jung. 2007

545 citations recorded by the source corpus.

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Environmental variability and mean-reverting processes (2016, methodology): “The first approach involves applying a mean-reverting SDE process, sometimes referred to as colored noise [11], to the parameter.”
Noise-Induced Phenomena in the Environmental Sciences (2011, background): “90) can be solved (Hanggi and Jung, 1995) only if φ(t)/ ξcn(t) does not depend on the process φ(t), so that the ensemble average in Eq.”
Irreversibility in Active Matter Systems: Fluctuation Theorem and Mutual Information (2018, background): “[73] Peter Hänggi and Peter Jung, “Colored noise in dynamical systems,” in Advances in chemical physics, Vol.”
Temperature in and out of equilibrium: A review of concepts, tools and attempts (2017, background): “y T a(x) = D eff=(˝ R( x)) T eff=(˝ R ( x)) as the local temperature of the active bath. Two additional arguments support such an interpretation: 6A rigorous discussion of the UCNA, see for instance [315], shows that it can be obtained in the limit ˝ R!0 but also in the opposite limit ˝ R!1, provide”
Relativistic Brownian Motion (2008, background): “4 The vast literature on classical Brownian motion processes and their various applications in nonrelativistic physics is discussed in several survey articles [78, 79, 80, 81, 82, 83, 110, 111, 112, 113, 114].”
Active Brownian particles (2012, background): “63) can be generalized to a correlated Ornstein-Uhlenbeck process [348,57,162,148] as a model of possible correlations.”