Noise Stabilization of Self-Organized Memories

TL;DR

This paper demonstrates that specific stochastic noise can stabilize multiple memories in a nonlinear dynamical system, allowing for permanent encoding of various parameter values, with analytical insights and experimental relevance.

Contribution

It introduces a novel noise-induced stabilization mechanism for memories in nonlinear systems, supported by analytical results and experimental discussion.

Findings

Noise can stabilize multiple memories in the system.

Analytic results explain memory formation and stabilization.

Relevance to charge-density wave experiments in NbSe3.

Abstract

We investigate a nonlinear dynamical system which ``remembers'' preselected values of a system parameter. The deterministic version of the system can encode many parameter values during a transient period, but in the limit of long times, almost all of them are forgotten. Here we show that a certain type of stochastic noise can stabilize multiple memories, enabling many parameter values to be encoded permanently. We present analytic results that provide insight both into the memory formation and into the noise-induced memory stabilization. The relevance of our results to experiments on the charge-density wave material $NbSe_3$ is discussed.