Kneading curves for Lozi maps

• Autor(es): Baptista, Diogo ; Severino, Ricardo ; Vinagre, Sandra
• Data: 2009
• Identificador Persistente: http://hdl.handle.net/10174/5602
• Origem: Repositório Científico da Universidade de Évora
• Assunto(s): iteration of maps; kneading theory; Lozi maps
• Tipo de Documento: Artigo
• Idioma: Inglês

Descrição

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.