Nonreciprocal Coupling Induced Self-Assembled Localized Structures

D. Pinto-Ramos, K. Alfaro-Bittner, M. G. Clerc, R. G. Rojas

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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
Issue number19
StatePublished - 12 May 2021


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