Entropy and periodic orbits for generic diffeomorphisms
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
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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