Symbolic dynamics and Lyapunov exponents for Lozi maps

Baptista, 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 -