Effects of the low frequencies of noise on On-Off intermittency - Condensed Matter > Statistical MechanicsReport as inadecuate




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Abstract: A bifurcating system subject to multiplicative noise can exhibit on-offintermittency close to the instability threshold. For a canonical system, wediscuss the dependence of this intermittency on the Power Spectrum DensityPSD of the noise. Our study is based on the calculation of the ProbabilityDensity Function PDF of the unstable variable. We derive analytical resultsfor some particular types of noises and interpret them in the framework ofon-off intermittency. Besides, we perform a cumulant expansion for a randomnoise with arbitrary power spectrum density and show that the intermittentregime is controlled by the ratio between the departure from the threshold andthe value of the PSD of the noise at zero frequency. Our results are inagreement with numerical simulations performed with two types of randomperturbations: colored Gaussian noise and deterministic fluctuations of achaotic variable. Extensions of this study to another, more complex, system arepresented and the underlying mechanisms are discussed.



Author: Sebastien Aumaitre, Kirone Mallick, Francois Petrelis

Source: https://arxiv.org/







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