Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2013; 50(3): 727-730

Printed May 31, 2013

https://doi.org/10.4134/BKMS.2013.50.3.727

Copyright © The Korean Mathematical Society.

Entropy and periodic orbits for generic diffeomorphisms

Ruixin Chen

Qingdao University of Science and Technology

Abstract

We prove an inequality between topological entropy and asy\-mptotical growth of periodic orbits for $C^1$ generic diffeomorphisms.

Keywords: generic diffeomorphism, topological entropy, growth rate of periodic orbits

MSC numbers: 37B40, 37C05, 37C20, 37D20

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