Dr. Jorge Lewowicz
From Scholarpedia
Editor of Scholarpedia
Faculty of Engineering, University of the Republic, Montevideo Uruguay
I expect to finish this article at the end of September
Short Description of what I plan to cover
1)Introduction to Discrete Expansive Systems. Sensibility with respect to initial conditions. Invariance through conjugations. Perturbations. 2)Examples. Anosov and Quasi- Anosov. Hyperbolic Sets. Shifts. Denjois Map. Lewowicz Map. 3)General properties. No expansivity only for the future. Non-existence of stable (unstable) points. Existence of connected stable (unstable) sets. Application: There are no Expansive systems in. 4) Local connectedness of stable (unstable) sets on surfaces. Stable (Unstable) sets. Clasification of Expansive Systems on surfaces. 5) Results on clasification on higher dimension. 6)About the tangent map of Expansive Diffeomorphisms. Expansivity
and Hiperbolicity. Resuls of Manie; other results.
7) Persistence and Topological Stability. 8) Concerning Continuous Expansive Systems.
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4) Local connectedness of stable (unstable) sets on surfaces. Stable (Unstable) sets. Clasification of Expansive Systems on surfaces.
5) Results on clasification on higher dimension.
6)About the tangent map of Expansive Diffeomorphisms. Expansivity
