Kneading curves for Lozi maps

• Author(s): Baptista, Diogo ; Severino, Ricardo ; Vinagre, Sandra
• Date: 2009
• Persistent ID: http://hdl.handle.net/10174/5602
• Origin: Repositório Científico da Universidade de Évora
• Subject(s): iteration of maps; kneading theory; Lozi maps
• Document Type: Article
• Language: English

Description

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.