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Noise induced transition from an absorbing phase to a regime of stochastic spatiotemporal intermittency

By M. Zimmermann, R. Toral, O. Piro and M. San Miguel.
2008

Spatiotemporal Intermittency (STI) has been observed in several dynamical systems. It consists of a turbulent state which recurrently visits a laminar state. We are interested in modelling this complex state by a stochastic partial differential equation. This equation requires both a bistable potential, and a multiplicative noise term which vanishes at the metastable state. An interesting feature of the model is that it displays a noise induced transition from laminarity to the STI regime. We show by numerical simulations and a mean-field analysis that for high noise intensities the system globally evolves to a uniform absorbing phase, while for noise intensities below a critical value spatiotemporal intermittence dominates.


http://www.ifisc.uib-csic.es/eng/lines/complex/tempinterm/

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Consejo Superior de Investigaciones Científicas Universitat de les Illes Balears