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.
Reviewer: Huang Qiyu (Fujian)
MSC:
34C30 | Manifolds of solutions of ODE (MSC2000) |
37-XX | Dynamical systems and ergodic theory |