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 on ordinary graphs encode higher-order synchronization constraints: the twisted Laplacian has a zero mode if and only if all cycle holonomies vanish.
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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.