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Dynamic Cell Mapping Algorithm for Computing Basins of Attraction in Planar Filippov Systems

Dynamic Cell Mapping Algorithm for Computing Basins of Attraction in Planar Filippov Systems

Discontinuities are a common feature of physical models in engineering and biological systems, e.g. stick-slip due to friction, electrical relays or gene regulatory networks. The computation of basins of attraction of such nonsmooth systems is challenging and requires special treatments, especially regarding numerical integration. In this paper, we present a …