TY - JOUR
T1 - Nonreciprocal Coupling Induced Self-Assembled Localized Structures
AU - Pinto-Ramos, D.
AU - Alfaro-Bittner, K.
AU - Clerc, M. G.
AU - ROJAS CORTES, RENE GABRIEL
N1 - Funding Information:
This work was funded by ANID-Millennium Science Initiative Program–ICN17_012. M. G. C. acknowledges financial support from the Fondecyt 1210353 project. D. P. R. acknowledges financial support from the ANID national Ph.D. scholarship 21201484.
Publisher Copyright:
© 2021 American Physical Society.
PY - 2021/5/12
Y1 - 2021/5/12
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85106390788&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.126.194102
DO - 10.1103/PhysRevLett.126.194102
M3 - Article
AN - SCOPUS:85106390788
VL - 126
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 19
M1 - 194102
ER -