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- W2950405961 abstract "We prove that homoclinic classes for a residual set of C^1 vector fields X on closed n-manifolds are maximal transitive and depend continuously on periodic orbit data. In addition, X does not exhibit cycles formed by homoclinic classes. We also prove that a homoclinic class of X is isolated if and only if it is Omega-isolated, and that it is the intersection of its stable set and its unstable set. All these properties are well known for structurally stable Axiom A vector fields." @default.
- W2950405961 created "2019-06-27" @default.
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- W2950405961 date "2001-08-31" @default.
- W2950405961 modified "2023-10-18" @default.
- W2950405961 title "Homoclinic classes for generic C^1 vector fields" @default.
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