Issue
EPL
Volume 80, Number 1, October 2007
Article Number 10001
Number of page(s) 6
Section General
DOI http://dx.doi.org/10.1209/0295-5075/80/10001
Published online 31 August 2007
EPL, 80 (2007) 10001
DOI: 10.1209/0295-5075/80/10001

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

A. E. Hramov and A. A. Koronovskii

Faculty of Nonlinear Processes, Saratov State University - Astrakhanskaya, 83, Saratov, 410012, Russia


received 20 January 2007; accepted in final form 3 August 2007; published October 2007
published online 31 August 2007

Abstract
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