Time--delay autosynchronization of the spatio-temporal dynamics in resonant tunneling diodes

TL;DR

This paper demonstrates how time-delayed feedback control can stabilize specific spatio-temporal patterns in resonant tunneling diodes, enabling noninvasive pattern selection and stabilization.

Contribution

It introduces a novel application of autosynchronization via time-delayed feedback to control complex dynamics in resonant tunneling diodes.

Findings

Time-delayed feedback effectively stabilizes desired patterns.

Comparison shows local vs. global feedback efficiency.

Analytical stability analysis supports numerical results.

Abstract

The double barrier resonant tunneling diode exhibits complex spatio-temporal patterns including low-dimensional chaos when operated in an active external circuit. We demonstrate how autosynchronization by time--delayed feedback control can be used to select and stabilize specific current density patterns in a noninvasive way. We compare the efficiency of different control schemes involving feedback in either local spatial or global degrees of freedom. The numerically obtained Floquet exponents are explained by analytical results from linear stability analysis.