Geodesic
Symbolic dynamics and Lyapunov exponents for Lozi maps
Diogo Baptista1 ; Ricardo Severino2
1 School of Technology and Management, Polytechnic Institute of Leiria, Leiria, CIMA-UE, University of Évora, Évora, Campus 2, Morro do Lena - Alto do Vieiro 2411-901 Leiria, Portugal
2 CIMA-UE, University of Évora, Rua Romão Ramalho 59, 7000-671 Évora, Portugal
ESAIM. Proceedings, Tome 36 (2012), pp. 121-125 Cet article a éte moissonné depuis la source EDP Sciences

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Building on the kneading theory for Lozi maps introduced by Yutaka Ishii, in 1997, we introduce a symbolic method to compute its largest Lyapunov exponent. We use this method to study the behavior of the largest Lyapunov exponent for the set of points whose forward and backward orbits remain bounded, and find the maximum value that the largest Lyapunov exponent can assume.
DOI : 10.1051/proc/201236010

Diogo Baptista 1 ; Ricardo Severino 2

1 School of Technology and Management, Polytechnic Institute of Leiria, Leiria, CIMA-UE, University of Évora, Évora, Campus 2, Morro do Lena - Alto do Vieiro 2411-901 Leiria, Portugal
2 CIMA-UE, University of Évora, Rua Romão Ramalho 59, 7000-671 Évora, Portugal 
@article{EP_2012_36_a10,
     author = {Diogo Baptista and Ricardo Severino},
     title = {Symbolic dynamics and {Lyapunov} exponents for {Lozi} maps},
     journal = {ESAIM. Proceedings},
     pages = {121--125},
     year = {2012},
     volume = {36},
     doi = {10.1051/proc/201236010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201236010/}
}
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Diogo Baptista; Ricardo Severino. Symbolic dynamics and Lyapunov exponents for Lozi maps. ESAIM. Proceedings, Tome 36 (2012), pp. 121-125. doi: 10.1051/proc/201236010

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