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Synchronisation of canonical measures for hyperbolic attractors

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Under suitable conditions it is shown how to change the velocity of aC 2 AxiomA attractor so that the Sinai-Ruelle-Bowen measure coincides with the measure of maximal entropy. These measures are obtained as limits of certain closed orbital measures.

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Communicated by J. P. Eckmann

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Parry, W. Synchronisation of canonical measures for hyperbolic attractors. Commun.Math. Phys. 106, 267–275 (1986). https://doi.org/10.1007/BF01454975

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  • DOI: https://doi.org/10.1007/BF01454975

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