Long-range interaction induced collective dynamical behaviors
arXiv:1903.10138 · doi:10.1088/1751-8121/ab111a
Abstract
Long-range interacting systems are omnipresent in nature. We investigate here the collective dynamical behavior in a long-range interacting system consisting of coupled Stuart-Landau limit cycle oscillators. In particular, we analyze the impact of a repulsive coupling along with symmetry breaking coupling. We report that the addition of repulsive coupling of sufficient strength can induce a swing of the synchronized state which will start disappearing with an increasing disorder as a function of the repulsive coupling. We also deduce analytical stability conditions for the oscillatory states including synchronized state, solitary state, two-cluster state as well as oscillation death state. Finally, we have also analyzed the effect of power-law exponent on the observed dynamical states.
Accepted for publication in Journal of Physics A as a contribution to the Special Issue on "Long Range Interactions and synchronization"
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- Solitary States and Partial Synchrony in Oscillatory Ensembles with Attractive and Repulsive Interactions
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- Preface: Long-range Interactions and Synchronization