vix.ing · top · new · best · stats · spec

Noise-induced nonreciprocal topological dissipative solitons in directionally coupled chains and lattices

2024/11/22 by David Pinto-Ramos, K. Alfaro-Bittner, Pinto-Ramos, David +5
Engineering · Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #Adhesion, Friction, and Surface Interactions #Advanced Fiber Laser Technologies #Applied Physics (physics.app-ph) #FOS: Physical sciences #Geophysics and Sensor Technology #Pattern Formation and Solitons (nlin.PS)

paper · pdf · doi:10.48550/arxiv.2411.15065

openalex publication_date 2024/11/22 · openalex created_date 2024/12/04 · openalex updated_date 2026/08/01

Abstract

Nonreciprocal coupling can alter the transport properties of material media, producing striking phenomena such as unidirectional amplification of waves, boundary modes, or self-assembled pattern formation. It is responsible for nonlinear convective instabilities in nonlinear systems that drive topological dissipative solitons in a single direction, producing a lossless information transmission. Considering fluctuations, which are intrinsic to every macroscopic dynamical system, noise-sustained structures emerge permanently in time. Here, we study arrays of nonreciprocally coupled bistable systems exhibiting noise-sustained topological phase wall (or soliton) dynamics. The bifurcations between different steady states are analytically addressed, and the properties of the noise-sustained states are unveiled as a function of the reciprocal and nonreciprocal coupling parameters. Furthermore, we study critical points where the structures' characteristic size diverges with different power law exponents. Our numerical results agree with the theoretical findings.

Related