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

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

2007-08-31

arxiv.org/abs/0708.4349v1

EPL, 80 (2007) 10001

Nonlinear Sciences

Chaotic Dynamics

6 pages, 7 figures

Scientific paper

10.1209/0295-5075/80/10001

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.

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