Conjugacy of piecewise linear Lorenz map that expand on average

For piecewise linear Lorenz map that expand on average, we show that it admits a dichotomy: it is either periodic renormalizable or prime. As a result, such a map is conjugate to a ß-transformation.

Detalhes bibliográficos
Autores: Cui, Hong-Fei, Ding, Yi-Ming
Formato: artículo
Fecha de publicación:2009
País:España
Recursos:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:47988
Acesso em linha:https://ddd.uab.cat/record/47988
Access Level:acceso abierto
Palavra-chave:Descomposició (Matemàtica)
Descrição
Resumo:For piecewise linear Lorenz map that expand on average, we show that it admits a dichotomy: it is either periodic renormalizable or prime. As a result, such a map is conjugate to a ß-transformation.