A Remark on the Topological Entropy and Invariant Circles of an Area Preserving Twistmap-Reference-Cited by-同舟云学术

A Remark on the Topological Entropy and Invariant Circles of an Area Preserving Twistmap

Published:1992 Issue: Volume: Page:1-5
ISSN:0940-6573
Container-title:Twist Mappings and Their Applications
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Author:

Angenent Sigurd B.

Publisher

Springer New York

Link

http://link.springer.com/content/pdf/10.1007/978-1-4613-9257-6_1

Reference6 articles.

1. S. B. ANGENENT,Monotone recurrence relations, their Birkhoff orbits, and their topological entropy, Ergodic Theory & Dynamical Systems (to appear).

2. P. BOYLand,Braid types and a topological method of proving positive entropy, preprint.

3. P. BOYLAND ANDG. R. HALL,Invariant circles and the order structure of periodic orbits in monotone twist maps, Topology, 26 (1987), pp. 21–35.

4. A. KATOK,Some remarks on Birkhoff and Mather Twist theorems, Ergodic Theory & Dynamical Systems, 2 (1982), pp. 185–194.

5. A. KATOK,Lyapunov exponents, entropy and periodic orbits for diffeomorphisms, Publications Math. I. H. E. S., 51 (1980), pp. 508–557.

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