Synchronization and plateau splitting of coupled oscillators with long-range power-law interactions

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Huan-Yu Kuo, Kuo-An Wu

Abstract

We investigate synchronization and plateau splitting of coupled oscillators on a one-dimensional lattice with long-range interactions that decay over distance as a power law. We show that in the thermodynamic limit the dynamics of systems of coupled oscillators with power-law exponent α≤1 is identical to that of the all-to-all coupling case. For α>1, oscillatory behavior of the phase coherence appears as a result of single plateau splitting into multiple plateaus. A coarse-graining method is used to investigate the onset of plateau splitting. We analyze a simple oscillatory state formed by two plateaus in detail and propose a systematic approach to predict the onset of plateau splitting. The prediction of breaking points of plateau splitting is in quantitatively good agreement with numerical simulations.

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Citations

Aug 31, 2016·Physical Review. E·Felix Thiel, Igor M Sokolov
Oct 16, 2016·Physical Review. E·Tanmoy BanerjeeEckehard Schöll
Aug 4, 2021·Chaos·Sarbendu RakshitDibakar Ghosh

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