Skip to Main content Skip to Navigation
Journal articles

Low frequency noise controls on-off intermittency of bifurcating systems

Abstract : A bifurcating system subject to multiplicative noise can display on-off intermittency. Using a canonical example, we investigate the extreme sensitivity of the intermittent behavior to the nature of the noise. Through a perturbative expansion and numerical studies of the probability density function of the unstable mode, we show that intermittency is controlled by the ratio between the departure from onset and the value of the noise spectrum at zero frequency. Reducing the noise spectrum at zero frequency shrinks the intermittency regime drastically. This effect also modifies the distribution of the duration that the system spends in the off phase. Mechanisms and applications to more complex bifurcating systems are discussed.
Complete list of metadata

Cited literature [20 references]  Display  Hide  Download
Contributor : Bruno Savelli Connect in order to contact the contributor
Submitted on : Tuesday, September 1, 2020 - 2:48:54 PM
Last modification on : Thursday, March 17, 2022 - 10:08:57 AM
Long-term archiving on: : Wednesday, December 2, 2020 - 2:01:10 PM


Files produced by the author(s)



Sébastien Aumaître, François Pétrélis, Kirone Mallick. Low frequency noise controls on-off intermittency of bifurcating systems. Physical Review Letters, American Physical Society, 2005, 95 (6), pp.064101. ⟨10.1103/PhysRevLett.95.064101⟩. ⟨cea-02927204⟩



Record views


Files downloads