Dual star products and symbolic dynamics of Lorenz maps with the same entropy

✍ Scribed by Shou-Li Peng; Lei-Ming Du

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 113 KB
• Volume: 261
• Category: Article
• ISSN: 0375-9601
• DOI: 10.1016/s0375-9601(99)00623-4

✦ Synopsis

Ä 4 Dual star products ) g ),) of the kneading sequence pairs for two-parameter families of Lorenz maps on the interval are presented in the topological space of two letters. The dual star products support the first topological conjugate invariant and lead to one of the statements of the generalized Milnor-Thurston conjecture to be valid. These results are more complicated than that of bimodal maps. The dual Feigenbaum's metric universality and the form of unified dual star products for continuous and piece-wise continuous maps exist.