Computing domains of attraction for planar dynamics

Graça, Daniel; Zhong, Ning

http://hdl.handle.net/10400.1/1019

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Authors

Graça, Daniel

Zhong, Ning

Abstract(s)

In this note we investigate the problem of computing the domain of attraction of a ow on R2 for a given attractor. We consider an operator that takes two inputs, the description of the ow and a cover of the attractors, and outputs the domain of attraction for the given attractor. We show that: (i) if we consider only (structurally) stable systems, the operator is (strictly semi-)computable; (ii) if we allow all systems de ned by C1-functions, the operator is not (semi-)computable. We also address the problem of computing limit cycles on these systems.