Volume 80, Number 1, October 2007
|Number of page(s)||6|
|Published online||31 August 2007|
Detecting unstable periodic spatio-temporal states of spatial extended chaotic systems
Faculty of Nonlinear Processes, Saratov State University - Astrakhanskaya, 83, Saratov, 410012, Russia
Accepted: 3 August 2007
A 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.
PACS: 05.45.-a – Nonlinear dynamics and chaos / 05.45.Tp – Time series analysis / 89.75.Kd – Patterns
© Europhysics Letters Association, 2007
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