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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In the two-species Vicsek model, non-reciprocal flocking produces chiral order for small flocks and extensive spatiotemporal chaos for large flocks, separated by a finite-wavelength instability set by the chiral orbit radius.
Non-reciprocity stabilizes the homogeneous mixed state in multicomponent systems with compositional disorder, yielding a random matrix theory condition for the onset of spinodal instability that is verified in simulations.
citing papers explorer
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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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Extensive Spatio-Temporal Chaos in Non-reciprocal Flocking
In the two-species Vicsek model, non-reciprocal flocking produces chiral order for small flocks and extensive spatiotemporal chaos for large flocks, separated by a finite-wavelength instability set by the chiral orbit radius.
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Compositional disorder in a multicomponent non-reciprocal mixture: stability and patterns
Non-reciprocity stabilizes the homogeneous mixed state in multicomponent systems with compositional disorder, yielding a random matrix theory condition for the onset of spinodal instability that is verified in simulations.