The Library
One-dimensional dynamics in the new millennium
Tools
Strien, Sebastian van (2010) One-dimensional dynamics in the new millennium. Discrete and Continuous Dynamical Systems, Vol.27 (No.2). pp. 557-588. doi:10.3934/dcds.2010.27.557 ISSN 1078-0947.
Research output not available from this repository.
Request-a-Copy directly from author or use local Library Get it For Me service.
Official URL: http://dx.doi.org/10.3934/dcds.2010.27.557
Abstract
In the early 60's Sarkovskii discovered his famous theorem on the coexistence of periodic orbits for interval maps. Then, in the mid 70's, Li & Yorke rediscovered this result and somewhat later the papers by Feigenbaum and Coullet & Tresser on renormalisation and by Guckenheimer and Misiurewicz on sensitive dependence and existence of invariant measures, kicked off one of the most exciting areas within dynamical systems: iterations in dimension one. The purpose of this paper is to survey some of the recent developments, and pose some of the challenges and questions that keep this subject so intriguing.
Item Type: | Journal Article | ||||
---|---|---|---|---|---|
Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Discrete and Continuous Dynamical Systems | ||||
Publisher: | American Institute of Mathematical Sciences | ||||
ISSN: | 1078-0947 | ||||
Official Date: | June 2010 | ||||
Dates: |
|
||||
Volume: | Vol.27 | ||||
Number: | No.2 | ||||
Number of Pages: | 32 | ||||
Page Range: | pp. 557-588 | ||||
DOI: | 10.3934/dcds.2010.27.557 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
Data sourced from Thomson Reuters' Web of Knowledge
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |