A criterion for the positivity of the Liapunov characteristic exponent

Eric Cornelis

doi:10.1017/S0143385700002625

A criterion for the positivity of the Liapunov characteristic exponent

Eric Cornelis

University of Namur

Research output: Contribution to journal › Article › peer-review

Abstract

We formulate sufficient conditions under which, for a finite subset of SL (2, [formula-omitted]), the maximal Liapunov exponent is positive. These conditions are based on the notion of compatible hyperbolicity. We then give an analytical formulation of such a condition and we apply this criterion to prove mixing properties of a particular transformation of the two-dimensional torus.

Original language	English
Pages (from-to)	527-539
Number of pages	13
Journal	Ergodic Theory and Dynamical Systems
Volume	4
Issue number	4
DOIs	https://doi.org/10.1017/S0143385700002625
Publication status	Published - Dec 1984

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abstract = "We formulate sufficient conditions under which, for a finite subset of SL (2, [formula-omitted]), the maximal Liapunov exponent is positive. These conditions are based on the notion of compatible hyperbolicity. We then give an analytical formulation of such a condition and we apply this criterion to prove mixing properties of a particular transformation of the two-dimensional torus.",

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AB - We formulate sufficient conditions under which, for a finite subset of SL (2, [formula-omitted]), the maximal Liapunov exponent is positive. These conditions are based on the notion of compatible hyperbolicity. We then give an analytical formulation of such a condition and we apply this criterion to prove mixing properties of a particular transformation of the two-dimensional torus.

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A criterion for the positivity of the Liapunov characteristic exponent

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