Bowen entropy for fixed-point free flows

Yong Ji; Ercai Chen; Yunping Wang; Cao Zhao

doi:10.3934/dcds.2019271

Article Contents

2019, Volume 39, Issue 11: 6231-6239. Doi: 10.3934/dcds.2019271

This issue Previous Article Measure dynamics with Probability Vector Fields and sources Next Article Escape dynamics for interval maps

Bowen entropy for fixed-point free flows

1.
School of Mathematical Sciences and Institute of Mathematics, Nanjing Normal University, Nanjing, Jiangsu 210046, China
2.
School of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou, Jiangsu 215009, China

^* Corresponding author
^* Corresponding author

Received: September 2018

Revised: May 2019

Published: August 2019

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Abstract

In this paper, we devote to the study of the Bowen's entropy for fixed-point free flows and show that the Bowen entropy of the whole compact space is equal to the topological entropy. To obtain this result, we establish the Brin-Katok's local entropy formula for fixed-point free flows in ergodic case.

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Mathematics Subject Classification: Primary: 37B40, 37C45.

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References

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