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The first group is defined by (x1, y1, θ1) = (Cx,Cy.θ ∗), while the second is defined by(x2, y2, θ2) = (Cx + ∆x,Cy + ∆y, −θ ∗)

Analysis of sync dots In the sync dots, swarmalators form two groups, the number of swarmalators in each group depends on the initial conditions

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  • On forced swarmalators that move in higher-dimensional spaces nlin.CD · 2024-11-26 · conditional · none · ref 4

    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.