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.
Bavaud, Equilibrium properties of the vlasov functional: the generalized poisson-boltzmann-emden equation, Reviews of modern physics63, 129 (1991)
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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.