Experimental control of chaos by variable and distributed delay feedback

TL;DR

This paper introduces an improved chaos control method using variable and distributed delay feedback, successfully stabilizing unstable states in electronic circuits with large delays and leveraging orbit torsion.

Contribution

It presents a novel approach that enhances classical time-delayed feedback control by incorporating variable and distributed delays, enabling control over larger parameter ranges.

Findings

Successful stabilization of unstable orbits in electronic circuits.

Effective control with large time delays.

Utilization of orbit torsion for control effectiveness.

Abstract

We report on a significant improvement of the classical time-delayed feedback control method for stabilization of unstable periodic orbits or steady states. In an electronic circuit experiment we were able to realize time-varying and distributed delays in the control force leading to successful control for large parameter sets including large time delays. The presented technique makes advanced use of the natural torsion of the orbits, which is also necessary for the original control method to work.