Nonreciprocal Coupling Induced Self-Assembled Localized Structures

D. Pinto-Ramos, K. Alfaro-Bittner, M. G. Clerc, RENE GABRIEL ROJAS CORTES

Research output: Contribution to journalArticlepeer-review

Abstract

Chains of coupled oscillators exhibit energy propagation by means of waves, pulses, and fronts. Nonreciprocal coupling radically modifies the wave dynamics of chains. Based on a prototype model of nonlinear chains with nonreciprocal coupling to nearest neighbors, we study nonlinear wave dynamics. Nonreciprocal coupling induces a convective instability between unstable and stable equilibrium. Increasing the coupling level, the chain presents a propagative pattern, a traveling wave. This emergent phenomenon corresponds to the self-assembly of localized structures. The pattern wavelength is characterized as a function of the coupling. Analytically, the phase diagram is determined and agrees with numerical simulations.

Original languageEnglish
Article number194102
JournalPhysical Review Letters
Volume126
Issue number19
DOIs
StatePublished - 12 May 2021
Externally publishedYes

Fingerprint

Dive into the research topics of 'Nonreciprocal Coupling Induced Self-Assembled Localized Structures'. Together they form a unique fingerprint.

Cite this