Abstract
AbstractA generalization of the class of monotone twistmaps to maps ofs1×RNis proposed. The existence of Birkhoff orbits is studied, and a criterion for positive topological entropy is given. These results are then specialized to the case of monotone twist maps. Finally it is shown that there is a large class of symplectic maps to which the foregoing discussion applies.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,General Mathematics
Reference12 articles.
1. Mather sets for twist maps and geodesies on tori;Bangert;Dynamics Reported
2. A topological version of a theorem of Mather on twist maps;Hall;Ergod. Th. and Dynam. Sys.,1984
3. Some remarks on Birkhoff and Mather twist map theorems
4. [Bo] Boyland S. . Braid types and a topological method of proving positive entropy. Preprint.
Cited by
42 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献