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Noise-induced synchronization of spatiotemporal chaos in the Ginzburg-Landau equation

  • Statistical, Nonlinear, and Soft Matter Physics
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Abstract

We have studied noise-induced synchronization in a distributed autooscillatory system described by the Ginzburg-Landau equations, which occur in a regime of chaotic spatiotemporal oscillations. A new regime of synchronous behavior, called incomplete noise-induced synchronization (INIS), is revealed, which can arise only in spatially distributed systems. The mechanism leading to the development of INIS in a distributed medium under the action of a distributed source of noise is analytically described. Good coincidence of analytical and numerical results is demonstrated.

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Authors and Affiliations

  1. Saratov State University, Saratov, 410012, Russia

    A. A. Koronovskiĭ, P. V. Popov & A. E. Hramov

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  1. A. A. Koronovskiĭ
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  2. P. V. Popov
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  3. A. E. Hramov
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Correspondence to A. E. Hramov.

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Original Russian Text © A.A. Koronovskiĭ, P.V. Popov, A.E. Hramov, 2008, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2008, Vol. 134, No. 5, pp. 1048–1058.

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Koronovskiĭ, A.A., Popov, P.V. & Hramov, A.E. Noise-induced synchronization of spatiotemporal chaos in the Ginzburg-Landau equation. J. Exp. Theor. Phys. 107, 899–907 (2008). https://doi.org/10.1134/S1063776108110228

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