CONTINUITY OF ENTROPY FOR BIMODAL MAPS

Citation
L. Alseda et al., CONTINUITY OF ENTROPY FOR BIMODAL MAPS, Journal of the London Mathematical Society, 52, 1995, pp. 547-567
Citations number
13
Categorie Soggetti
Mathematics, General",Mathematics
ISSN journal
00246107
Volume
52
Year of publication
1995
Part
3
Pages
547 - 567
Database
ISI
SICI code
0024-6107(1995)52:<547:COEFBM>2.0.ZU;2-M
Abstract
We characterize the continuity of the topological entropy of bimodal m aps of the interval and of the circle in terms of the behaviour of the iterates of the turning points and of the value of the topological en tropy of the map under consideration. In the case of bimodal circle ma ps of degree one we also study the continuity of the entropy in terms of their rotation intervals.