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math.DS2023★ 1 cited
Nonuniqueness phenomena in discontinuous dynamical systems and their regularizations
Alessia andò, Roderick Edwards, Nicola Guglielmi
In a recent paper by Guglielmi and Hairer (SIADS 2015), an analysis in the limit was proposed of regularized discontinuous ODEs in codimension-2 switching domain…
math.DS2019
Chaos in a continuous-time Boolean network
Roderick Edwards
Continuous-time systems with switch-like behaviour occur in chemical kinetics, gene regulatory networks and neural networks. Networks with hard switching, as a limiting case of smo…