Spatially modulated nonreciprocity in McKean-Vlasov equations produces travelling waves via Hopf bifurcations even in the weak-nonreciprocity regime, unlike uniform nonreciprocity which yields only stationary instabilities.
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Cycle holonomies in twisted Laplacian spectra determine the stability of phase-locked states in oscillator networks, with an exact critical lag of π/3 for a pentagon.
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Nonreciprocal McKean-Vlasov Equations: From Stationary Instabilities to Travelling Waves
Spatially modulated nonreciprocity in McKean-Vlasov equations produces travelling waves via Hopf bifurcations even in the weak-nonreciprocity regime, unlike uniform nonreciprocity which yields only stationary instabilities.
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Cycle holonomy induces higher-order constraints and controls remote synchronization transitions via twisted Laplacian spectra
Cycle holonomies in twisted Laplacian spectra determine the stability of phase-locked states in oscillator networks, with an exact critical lag of π/3 for a pentagon.