Interplay of periodic dynamics and noise: Insights from a simple adaptive system

Folz F, Mehlhorn K, Morigi G (2021)

Publication Type: Journal article

Publication year: 2021

Journal

Physical Review E American Physical Society

Book Volume: 104

Journal Issue: 5

DOI: 10.1103/PhysRevE.104.054215

Abstract

We study the dynamics of a simple adaptive system in the presence of noise and periodic damping. The system is composed by two paths connecting a source and a sink, and the dynamics is governed by equations that usually describe food search of the paradigmatic Physarum polycephalum. In this work we assume that the two paths undergo damping whose relative strength is periodically modulated in time, and we analyze the dynamics in the presence of stochastic forces simulating Gaussian noise. We identify different responses depending on the modulation frequency and on the noise amplitude. At frequencies smaller than the mean dissipation rate, the system tends to switch to the path which minimizes dissipation. Synchronous switching occurs at an optimal noise amplitude which depends on the modulation frequency. This behavior disappears at larger frequencies, where the dynamics can be described by the time-averaged equations. Here we find metastable patterns that exhibit the features of noise-induced resonances.

Additional Organisation(s)

Sonderforschungsbereich/Transregio 306/1: Quantenkooperativität von Licht und Materie - QuCoLiMa

Related research project(s)

Spatio-temporal structures in interacting spin systems (D02) TRR 306: Quantenkooperativität von Licht und Materie – QuCoLiMa Jan. 1, 2021 - Dec. 31, 2024

Involved external institutions

Universität des Saarlandes (UdS) DE Germany (DE) Max Planck Institute for Informatics / Max-Planck-Institut für Informatik DE Germany (DE)

How to cite

APA:

Folz, F., Mehlhorn, K., & Morigi, G. (2021). Interplay of periodic dynamics and noise: Insights from a simple adaptive system. Physical Review E, 104(5). https://dx.doi.org/10.1103/PhysRevE.104.054215

MLA:

Folz, Frederic, Kurt Mehlhorn, and Giovanna Morigi. "Interplay of periodic dynamics and noise: Insights from a simple adaptive system." Physical Review E 104.5 (2021).

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