Detecting unstable periodic spatio-temporal states of spatial extended chaotic systemsA. 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
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.
05.45.-a - Nonlinear dynamics and chaos.
05.45.Tp - Time series analysis.
89.75.Kd - Patterns.
© Europhysics Letters Association 2007