izvor podataka: crosbi
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Symbolic dynamics for Lozi maps (CROSBI ID 248114)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Misiurewicz, Michal ; Štimac, Sonja
Symbolic dynamics for Lozi maps // Nonlinearity, 29 (2016), 10; 3031-3046. doi: 10.1088/0951-7715/29/10/3031
Podaci o odgovornosti
Misiurewicz, Michal ; Štimac, Sonja
engleski
Symbolic dynamics for Lozi maps
We study the family of the Lozi maps L_{; ; ; ; a, b}; ; ; ; : R^2 → R^2, L_{; ; ; ; a, b}; ; ; ; (x, y) = (1+y−a|x|, bx), and their strange attractors Λ_{; ; ; ; a, b}; ; ; ; . We introduce the set of kneading sequences for the Lozi map and prove that it determines the symbolic dynamics for that map. We also introduce two other equivalent approaches.
Lozi map, Lozi attractor, symbolic dynamics, kneading theory
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