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• W2009596935 abstract "We present here a construction of horseshoes for any $mathcal{C}^{1+alpha}$ mapping $f$ preserving an ergodic hyperbolic measure $mu$ with $h_{mu}(f)>0$ and then deduce that the exponential growth rate of the number of periodic points for any $mathcal{C}^{1+alpha}$ mapping $f$ is greater than or equal to $h_{mu}(f)$. We also prove that the exponential growth rate of the number of hyperbolic periodic points is equal to the hyperbolic entropy. The hyperbolic entropy means the entropy resulting from hyperbolic measures." @default.
• W2009596935 created "2016-06-24" @default.
• W2009596935 creator A5034884422 @default.
• W2009596935 date "2015-01-01" @default.
• W2009596935 modified "2023-09-26" @default.
• W2009596935 title "Horseshoes for $mathcal{C}^{1+alpha}$ mappings with hyperbolic measures" @default.
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• W2009596935 doi "https://doi.org/10.3934/dcds.2015.35.5133" @default.
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