# Symbolic dynamics and Lyapunov exponents for Lozi maps

Diogo Baptista; Ricardo Severino

ESAIM: Proceedings (2012)

- Volume: 36, page 121-125
- ISSN: 1270-900X

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topBaptista, Diogo, and Severino, Ricardo. Fournier-Prunaret, D., Gardini, L., and Reich, L., eds. "Symbolic dynamics and Lyapunov exponents for Lozi maps." ESAIM: Proceedings 36 (2012): 121-125. <http://eudml.org/doc/251219>.

@article{Baptista2012,

abstract = {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.},

author = {Baptista, Diogo, Severino, Ricardo},

editor = {Fournier-Prunaret, D., Gardini, L., Reich, L.},

journal = {ESAIM: Proceedings},

keywords = {Iteration of maps; Lozi maps; Symbolic dynamics; Lyapunov exponents; iteration of maps; symbolic dynamics},

language = {eng},

month = {8},

pages = {121-125},

publisher = {EDP Sciences},

title = {Symbolic dynamics and Lyapunov exponents for Lozi maps},

url = {http://eudml.org/doc/251219},

volume = {36},

year = {2012},

}

TY - JOUR

AU - Baptista, Diogo

AU - Severino, Ricardo

AU - Fournier-Prunaret, D.

AU - Gardini, L.

AU - Reich, L.

TI - Symbolic dynamics and Lyapunov exponents for Lozi maps

JO - ESAIM: Proceedings

DA - 2012/8//

PB - EDP Sciences

VL - 36

SP - 121

EP - 125

AB - 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.

LA - eng

KW - Iteration of maps; Lozi maps; Symbolic dynamics; Lyapunov exponents; iteration of maps; symbolic dynamics

UR - http://eudml.org/doc/251219

ER -

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