Method of detecting unstable periodic spatio-temporal states of spatial extended chaotic systems
Alexey Koronovskii
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 (ii) the
complex one-dimensional Ginzburg-Landau equation demonstrating different regimes of spatio-temporal chaos.