Entropy and periodic orbits for generic diffeomorphisms |
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Bull. Korean Math. Soc. 2013 Vol. 50, No. 3, 727-730 https://doi.org/10.4134/BKMS.2013.50.3.727 Printed May 31, 2013 |
Ruixin Chen Qingdao University of Science and Technology |
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Abstract : We prove an inequality between topological entropy and asy\-mptotical growth of periodic orbits for $C^1$ generic diffeomorphisms. |
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Keywords : generic diffeomorphism, topological entropy, growth rate of periodic orbits |
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MSC numbers : 37B40, 37C05, 37C20, 37D20 |
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