Topological pressure of continuous flows without fixed points |
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Authors: | Zhan-hui Lu |
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Affiliation: | Institute of Mathematics and Physics, North China Electric Power University, Baoding, 071003, PR China |
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Abstract: | In this paper, we give the equivalent definitions of topological pressure for flows by using spanning sets, weakly spanning sets, strongly separated sets and tracing sets, respectively. We get an inequality between the topological pressures of Lipschitz conjugate flows, and prove that the topological pressure of expansive flows with tracing property can be described by its periodic orbits. |
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Keywords: | Continuous flows Topological pressure Lipschitz conjugate flows Expansiveness Tracing property |
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