Universal models for Lorenz maps

Authors
Martens, M De Melo, W
Citation
M. Martens et W. De Melo, Universal models for Lorenz maps, ERGOD TH DY, 21, 2001, pp. 833-860
Citations number
15
Categorie Soggetti
Mathematics
Journal title
ERGODIC THEORY AND DYNAMICAL SYSTEMS
ISSN journal
01433857 → ACNP
Volume
21
Year of publication
2001
Part
3
Pages
833 - 860
Database
ISI
SICI code
0143-3857(200106)21:<833:UMFLM>2.0.ZU;2-T
Abstract
Lorenz maps are dynamical systems on the interval related to the Lorenz flo w. Monotone Lorenz families will be introduced and it will be shown that al l possible topological dynamical behavior of Lorenz maps is realized within every monotone Lorenz family. Moreover; the structure of the parameter spa ce for such families is described.