Time integration of stochastic Turing patterns in the Levin-Segel model yields effective hyperuniformity with intensive number variance approaching a reaction-kinetic floor as 1/R near the Turing instability.
Evasion of tipping in complex systems through spatial pattern formation
3 Pith papers cite this work. Polarity classification is still indexing.
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A constrained optimization framework is developed to design spatial interventions controlling tipping dynamics in heterogeneous bistable systems, demonstrated on the 1D Allen-Cahn equation.
The authors prove existence of travelling pulses in a toxicity-extended Klausmeier model by constructing homoclinic orbits via geometric singular perturbation theory in an asymptotic scaling regime and validate against numerics.
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Optimisation of tipping pathways in a spatially heterogeneous world
A constrained optimization framework is developed to design spatial interventions controlling tipping dynamics in heterogeneous bistable systems, demonstrated on the 1D Allen-Cahn equation.
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Far-from-equilibrium travelling pulses in sloped semi-arid environments driven by autotoxicity effects
The authors prove existence of travelling pulses in a toxicity-extended Klausmeier model by constructing homoclinic orbits via geometric singular perturbation theory in an asymptotic scaling regime and validate against numerics.