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Maximum entropy approximation for Lyapunov exponents of chaotic maps

Jiu Ding, Lawrence R. Mead

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Source: Crossref

Published: May 1, 2002

DOI: 10.1063/1.1465100

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Source abstract

Let S:[0,1]→[0,1] be a nonsingular chaotic map that preserves an integrable density f* that describes the statistics of the orbits. In this article we use the maximum entropy approach to approximate the density f* and the corresponding Lyapunov exponent.

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Maximum entropy approximation for Lyapunov exponents of chaotic maps — Mathematical Frontier Network