caa a22 4500 467892040 CHVBK 20180406152752.0 cr unu---uuuuu 170328e20060501xx s 000 0 eng 10.1007/s10955-006-9116-9 doi (NATIONALLICENCE)springer-10.1007/s10955-006-9116-9 Effects of the Low Frequencies of Noise on On-Off Intermittency [Elektronische Daten] [Sébastien Aumaître, Kirone Mallick, François Pétrélis] A bifurcating system subject to multiplicative noise can exhibit on-off intermittency close to the instability threshold. For a canonical system, we discuss the dependence of this intermittency on the Power Spectrum Density (PSD) of the noise. Our study is based on the calculation of the Probability Density Function (PDF) of the unstable variable. We derive analytical results for some particular types of noises and interpret them in the framework of on-off intermittency. Besides, we perform a cumulant expansion (N. G. van Kampen, 24, 171 (1976).) for a random noise with arbitrary power spectrum density and we show that the intermittent regime is controlled by the ratio between the departure from the threshold and the value of the PSD of the noise at zero frequency. Our results are in agreement with numerical simulations performed with two types of random perturbations: colored Gaussian noise and deterministic fluctuations of a chaotic variable. Extensions of this study to another, more complex, system are presented and the underlying mechanisms are discussed. Springer Science + Business Media, Inc., 2006 Dynamical systems nationallicence stochastic dynamics nationallicence on-off intermittency nationallicence effect of noise on bifurcations nationallicence Aumaître Sébastien Laboratoire de Physique Statistique, CNRS UMR 8550, Ecole Normale Supérieure, 24 rue Lhomond, 75005, Paris, France aut Mallick Kirone Service de Physique Théorique, Centre d'études de Saclay, 91191, Gif-sur-Yvette Cedex, France aut Pétrélis François Laboratoire de Physique Statistique, CNRS UMR 8550, Ecole Normale Supérieure, 24 rue Lhomond, 75005, Paris, France aut Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 123/4(2006-05-01), 909-927 0022-4715 123:4<909 2006 123 10955 https://doi.org/10.1007/s10955-006-9116-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-006-9116-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Aumaître Sébastien Laboratoire de Physique Statistique, CNRS UMR 8550, Ecole Normale Supérieure, 24 rue Lhomond, 75005, Paris, France aut NATIONALLICENCE 700 1- Mallick Kirone Service de Physique Théorique, Centre d'études de Saclay, 91191, Gif-sur-Yvette Cedex, France aut NATIONALLICENCE 700 1- Pétrélis François Laboratoire de Physique Statistique, CNRS UMR 8550, Ecole Normale Supérieure, 24 rue Lhomond, 75005, Paris, France aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 123/4(2006-05-01), 909-927 0022-4715 123:4<909 2006 123 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer