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Predicting orbits of the Lorenz equation from symbolic dynamics

✍ Scribed by Wei-Mou Zheng

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
501 KB
Volume
109
Category
Article
ISSN
0167-2789

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✦ Synopsis

To a good approximation the family of maps proposed by for the Lorenz system characterizes the dynamical behavior of the system very well. Such maps are numerically constructed. Symbolic dynamics of the maps is discussed. The procedures to find admissible sequences at given kneading sequences are proposed. By means of the symbolic dynamics allowed orbits are predicted for the Lorenz equation at a typical combination of parameters, and numerically located.

πŸ“œ SIMILAR VOLUMES

Dual star products and symbolic dynamics
Dual star products and symbolic dynamics of Lorenz maps with the same entropy
✍ Shou-Li Peng; Lei-Ming Du πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 113 KB

Γ„ 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