
KCI등재
학술저널
TOPOLOGICAL ENTROPY OF EXPANSIVE FLOW ON TVS-CONE METRIC SPACES
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 34, No. 3
- : KCI등재
- 2021.08
- 259 - 269 (11 pages)
DOI : 10.14403/jcms.2021.34.3.259
We shall study the following. Let phi be an expansive flow on a compact TVS-cone metric space (X,d). First, we give some equivalent ways of defining expansiveness. Second, we show that expansiveness is conjugate invariance. Finally, we prove that limsup {1over t} log v(t) le h(phi), where v(t) denotes the number of closed orbits of phi with a period tau in [0,t] and h(phi) denotes the topological entropy. Remark that in 1972, R. Bowen and P. Walters had proved this three statements for an expansive flow on a compact metric space
1. Introduction and Preliminaries
2. Some equivalent definitions of expansive flows
3. Conjugate invariance
4. Topological entropy of expansive flows
References