DEVILS STAIRCASE OF TOPOLOGICAL-ENTROPY AND GLOBAL METRIC REGULARITY

Authors
PENG SL CAO KF CHEN ZX
Citation
Sl. Peng et al., DEVILS STAIRCASE OF TOPOLOGICAL-ENTROPY AND GLOBAL METRIC REGULARITY, Physics letters. A, 193(5-6), 1994, pp. 437-443
Citations number
21
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
193
Issue
5-6
Year of publication
1994
Pages
437 - 443
Database
ISI
SICI code
0375-9601(1994)193:5-6<437:DSOTAG>2.0.ZU;2-A
Abstract
A new global regularity, a devil's staircase of topological entropy, i s found in the interval dynamics for the first time. It shows that all Feigenbaum bifurcation processes preserve topological entropy, and th e complementary set to the steps of the devil's staircase is a chaotic set of Lebesgue measure 0.86 (lower bound).