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EPL Association, European Physical Society Letters, 1(80), p. 10001, 2007

DOI: 10.1209/0295-5075/80/10001

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Detecting unstable periodic spatio-temporal states of spatial extended chaotic systems

Journal article published in 2007 by Alexander E. Hramov, Alexey A. Koronovskii ORCID
This paper is available in a repository.
This paper is available in a repository.

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Abstract

The method of detection of the unstable periodic spatio-temporal states of spatial extended chaotic systems has been proposed. The application of this method is illustrated by the consideration of two different systems: i) the fluid model of Pierce diode being one of the fundamental system of the physics of plasmas and microwave electronics and ii) the complex one-dimensional Ginzburg-Landau equation demonstrating different regimes of spatio-temporal chaos. ; Comment: 6 pages, 7 figures