RENORMALIZATION OF C0 BIMODAL MAPS

Authors
Citation
D. Veitch, RENORMALIZATION OF C0 BIMODAL MAPS, Physica. D, 71(3), 1994, pp. 269-284
Citations number
18
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
ISSN journal
01672789
Volume
71
Issue
3
Year of publication
1994
Pages
269 - 284
Database
ISI
SICI code
0167-2789(1994)71:3<269:ROCBM>2.0.ZU;2-S
Abstract
We consider C0 bimodal maps of the interval. We show how topological r enormalization may be defined for maps with both zero and positive ent ropy. This has been done before, but for the case of positive entropy we use a theorem of Milnor and Thurston to give a new, highly intuitiv e definition which does not use kneading theory and avoids the technic al problems of previous approaches.