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 nd the maximum value that the largest Lyapunov exponent can assume. AMS (2000) subject classication. Primary: 37D45; Secondary: 37E30, 37E05. Keywords. Iteration of maps, Lozi maps, Symbolic dynamics, Lyapunov exponents. R esum

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