منابع مشابه
Effective long-time phase dynamics of limit-cycle oscillators driven by weak colored noise.
An effective white-noise Langevin equation is derived that describes long-time phase dynamics of a limit-cycle oscillator driven by weak stationary colored noise. Effective drift and diffusion coefficients are given in terms of the phase sensitivity of the oscillator and the correlation function of the noise, and are explicitly calculated for oscillators with sinusoidal phase sensitivity functi...
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The evaluation of the path-integral representation for stochastic processes in the weak-noise limit shows that these systems are governed by a set of equations which are those of a classical dynamics. We show that, even when the noise is colored, these may be put into a Hamiltonian form which leads to better insights and improved numerical treatments. We concentrate on solving Hamilton's equati...
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Irregular firing of neurons can be modeled as a stochastic process. Here we study the perfect integrate-and-fire neuron driven by dichotomous noise, a Markovian process that jumps between two states (i.e., possesses a non-Gaussian statistics) and exhibits nonvanishing temporal correlations (i.e., represents a colored noise). Specifically, we consider asymmetric dichotomous noise with two differ...
متن کاملNoise-driven dynamics and phase transitions in fermionic systems
Birger Horstmann,1,2 J. Ignacio Cirac,1 and Géza Giedke1,3 1Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Straße 1, 85748 Garching, Germany 2Deutsches Zentrum für Luftund Raumfahrt, Institut für Technische Thermodynamik, Pfaffenwaldring 38-40, 70569 Stuttgart, Germany 3Zentrum Mathematik, Technische Universität München, L.-Boltzmannstrasse 3, 85748 Garching, Germany (Received 3 August 2...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 2016
ISSN: 2469-9926,2469-9934
DOI: 10.1103/physreva.94.063862