Estimating the Lyapunov exponents of discrete systems

Changpin Li; Guanrong Chen

doi:10.1063/1.1741751

Estimating the Lyapunov exponents of discrete systems

Chaos An Interdisciplinary Journal of Nonlinear Science 14(2): 343-346

Article 2004 English

Abstract

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In the present paper, our aim is to determine both upper and lower bounds for all the Lyapunov exponents of a given finite-dimensional discrete map. To show the efficiency of the proposed estimation method, two examples are given, including the well-known Henon map and a coupled map lattice.

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