Turbulence control by developing a spiral wave with a periodic signal injection in the complex Ginzburg-Landau equation

TL;DR

This paper introduces a novel turbulence control method in the complex Ginzburg-Landau equation by injecting a periodic signal near a spiral wave seed, effectively suppressing turbulence even in unstable regimes.

Contribution

The paper presents a new turbulence control technique using periodic signal injection to stabilize spiral waves in the complex Ginzburg-Landau equation, demonstrating high efficiency and robustness.

Findings

Turbulence can be fully suppressed with minimal intervention.

Control is effective even when the spiral wave is absolutely unstable.

The method is robust and easy to implement.

Abstract

Turbulence control in the two-dimensional complex Ginzburg-Landau equation is investigated. A new approach is proposed for the control purpose. In the presence of a small spiral wave seed initiation, a fully developed turbulence can be completely annihilated by injecting a single periodic signal to a small fixed space area around the spiral wave tip. The control is achieved in a parameter region where the spiral wave of the uncontrolled system is absolutely unstable. The robustness, convenience and high control efficiency of this method is emphasized, and the mechanism underlying these practical advantages are intuitively understood.