Nonlocal repulsive coupling produces multi-cluster chimeras with antiphase or splay synchronized clusters that differ by 2π/n, in contrast to attractive coupling, as shown by numerics, stability analysis, and Ott-Antonsen reduction.
(20) The order parameter can be written as, R(x, t ) = ∫ π − π ∫ ∞ −∞ G(x − x′)g(ω )q(x′, ω, t )dωdx ′
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Multi-cluster chimeras in phase oscillators with repulsive nonlocal coupling
Nonlocal repulsive coupling produces multi-cluster chimeras with antiphase or splay synchronized clusters that differ by 2π/n, in contrast to attractive coupling, as shown by numerics, stability analysis, and Ott-Antonsen reduction.