Korean J. Math. Vol. 26 No. 2 (2018) pp.327-335
DOI: https://doi.org/10.11568/kjm.2018.26.2.327

SRB measures in chaotic dynamical systems

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Published: Jun 30, 2018
Keywords:
SRB measures, Lyapunov exponents, Pesin's entropy formula, Non-uniformly hyperbolic attractors.
Mathematics Subject Classification:
37D35

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Hyun Deok Lee
Department of Mathematics Education Cheongju University Cheongju, Chungbuk 28503, South Korea

Abstract

In this paper, we present the construction of natural invariant measures so called SRB(Sinai-Ruelle-Bowen) measures by the properties of geometric t-potential and Bowen's equation for the hyperbolic attractors.


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Supporting Agencies

This work was supported by the research grant of Cheongju University (2016.09.01.-2018.08.31.).

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