| Preimage Entropies of Semi-Flows |
| Received:December 12, 2005 Revised:December 12, 2006 |
| Key Words:
semi-flow preimage entropy topological conjugacy.
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| Fund Project:the Tianyuan Mathematics Foundation of China (10426012); the Doctoral Foundation of Hebei Normal University (L2005B02). |
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| Abstract: |
| In this paper, several preimage entropies for semi-flows on compact metric spaces are introduced and studied. We prove that most of these entropies are invariant in a certain sense under conjugacy when the semi-flows under consideration are free of fixed points. The relation between these entropies is studied and an inequality relating them is given. It is also shown that most of these entropies for semi-flow are consistent with that for the time-1 mapping. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2007.03.010 |
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