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The structure of the hyperbolic set of points. (English) Zbl 0808.34048

The author gives a new definition of a hyperbolic set of points which is equivalent to the old one but more powerful, and uses the properties of exponential dichotomy to prove that a hyperbolic set of point possesses stable and unstable manifolds without any conditions.

MSC:

34C30 Manifolds of solutions of ODE (MSC2000)
37-XX Dynamical systems and ergodic theory