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arXiv · 1903.10138

Long-range interaction induced collective dynamical behaviors

K. Sathiyadevi·V. K. Chandrasekar·D. V. Senthilkumar·M. Lakshmanan
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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.

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K. Sathiyadevi, V. K. Chandrasekar, D. V. Senthilkumar, M. Lakshmanan. 2019-03-25. Long-range interaction induced collective dynamical behaviors. https://doi.org/10.1088/1751-8121%2Fab111a

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