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

TL;DR

This paper introduces a new method for detecting unstable periodic spatio-temporal states in spatially extended chaotic systems, demonstrated on plasma physics and nonlinear wave models.

Contribution

A novel detection method for unstable periodic states in spatially extended chaotic systems is proposed and validated on two distinct physical models.

Findings

Successfully detects unstable periodic states in Pierce diode model.

Effectively identifies spatio-temporal chaos regimes in Ginzburg-Landau equation.

Method applicable to various spatially extended chaotic systems.

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.