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 Ef- fect of Climate Change on the Resilience of Ecosystems with Adaptive Spatial Pattern Formation
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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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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.