Arrest of Domain Coarsening via Antiperiodic Regimes in Delay Systems

TL;DR

This paper presents a new method to stabilize domain walls in delay systems using antiperiodic regimes, enabling information encoding by preventing domain coarsening, demonstrated through models and laser experiments.

Contribution

It introduces a novel stabilization mechanism for domain walls in delay systems via antiperiodic regimes, expanding control possibilities in dynamical systems.

Findings

Antiperiodic regimes cancel average drift velocity.

Stabilization demonstrated in a normal form model.

Experimental validation in a laser system.

Abstract

Motionless domains walls representing heteroclinic temporal or spatial orbits typically exist only for very specific parameters. This report introduces a novel mechanism for stabilizing temporal domain walls away from the Maxwell point opening up new possibilities to encode information in dynamical systems. It is based on anti-periodic regimes in a delayed system close to a bistable situation, leading to a cancellation of the average drift velocity. The results are demonstrated in a normal form model and experimentally in a laser with optical injection and delayed feedback.