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.
Pramanik, Construction of an optimal strategy: An analytic insight through path integral control driven by a mckean–vlasov opinion dynamics, Mathematics13, 2842 (2025)
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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.