Abstract
We characterize all structurally stable C r planar Hamiltonian vector fields with respect to perturbations in the set of all C r planar vector fields. Also, we extend this characterization to C r planar integrable vector fields, and we show that the usual requirement that the homeomorphism lies near the identity in the definition of structural stability is redundant for the C r planar Hamiltonian vector fields.KeywordsVector FieldPeriodic OrbitSaddle ConnectionHamiltonian Vector FieldHyperbolic SaddleThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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