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Plugging these expressions into the equation of motions (3) gives us 2KRθ sin (ψθ − θi) − F sin θi = 0, (21) Assuming ψθ = 0 without loss of generality, we have 2KRθ = −F

Analysis of phase locked state The fixed points here take the form xi = Cx, yi = Cy, θi ∈ (−a, a), (20) where C(), a are constants

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  • On forced swarmalators that move in higher-dimensional spaces nlin.CD · 2024-11-26 · conditional · none · ref 5

    Analytic stability boundaries for pinned, split-pinned, sync-dot, and phase-locked states are derived for forced swarmalators in 2D and 3D periodic domains, extending previous 1D results.