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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2010, Volume 6, Number 4, Pages 755–767
(Mi nd4)
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This article is cited in 2 scientific papers (total in 2 papers)
Multistability, period doubling and traveling waves suppression by noise excitation in a nonlinear self-oscillatory medium with periodic boundary conditions
A. V. Slepnev, T. E. Vadivasova, A. S. Listov Saratov State University
Abstract:
The model of a self-oscillatory medium whose cells represent Anishchenko–Astakhov self-sustained oscillators is studied. Under periodic boundary conditions the phenomenon of multistability is observed in the medium — the stable self-sustained oscillatory modes with different spatial structures coexist and can be realized by means of appropriately chosen initial conditions. The study of the time period doubling bifurcations is performed for different modes. It is shown that the evolution of the modes between two successive bifurcations leads to the complexification of instantaneous spatial profile and to the appearance of small-scale spatial oscillations. The distribution of the instantaneous phase shift along the medium is studied in different regimes. The influence of local noise source on the spatial structures is considered. It is demonstrated that noise can induce switchings between different regimes. The mechanism of such switchings is explored.
Keywords:
self-oscillatory medium, period doubling, spatial structures, multistability, noise excitation.
Received: 10.03.2010
Citation:
A. V. Slepnev, T. E. Vadivasova, A. S. Listov, “Multistability, period doubling and traveling waves suppression by noise excitation in a nonlinear self-oscillatory medium with periodic boundary conditions”, Nelin. Dinam., 6:4 (2010), 755–767
Linking options:
https://www.mathnet.ru/eng/nd4 https://www.mathnet.ru/eng/nd/v6/i4/p755
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