Kneading curves for Lozi maps

We explore some analogy between unimodal tent maps of the interval and Lozi maps, defining the critical point and the kneading sequence of a Lozi map. Then, we show that the set of parameter plane curves corresponding to Lozi maps with some initial kneading sequence has a structure close to the tree...

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Detalhes bibliográficos
Autor principal: Baptista, Diogo (author)
Outros Autores: Severino, Ricardo (author), Vinagre, Sandra (author)
Formato: article
Idioma:eng
Publicado em: 2012
Assuntos:
Texto completo:http://hdl.handle.net/10174/5602
País:Portugal
Oai:oai:dspace.uevora.pt:10174/5602
Descrição
Resumo:We explore some analogy between unimodal tent maps of the interval and Lozi maps, defining the critical point and the kneading sequence of a Lozi map. Then, we show that the set of parameter plane curves corresponding to Lozi maps with some initial kneading sequence has a structure close to the tree of unimodal tent kneading sequences, introduced by Sousa Ramos.