Detecting unstable periodic spatio-temporal states of spatial extended chaotic systems
arXiv:0708.4349 · doi:10.1209/0295-5075/80/10001
Abstract
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.
6 pages, 7 figures
References in corpus (4)
- Synchronization of spectral components and its regularities in chaotic dynamical systems
- Generalized synchronization in coupled Ginzburg-Landau equations and mechanisms of its arising
- Chaotic synchronization in coupled spatially extended beam-plasma systems
- Investigation of the complex dynamics and regime control in Pierce diode with the delay feedback