Topological entropy of continuous self–maps on a graph
Let G be a graph and f be a continuous self–map on G. We provide sufficient conditions based on the Lefschetz zeta function in order that f has positive topological entropy. Moreover, for the particular graphs: p–flower graph, n-lips graph and (p+r1L1+:::+rsLs)–graph we are able to go further and st...
| Authors: | , , |
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| Format: | article |
| Status: | Versión enviada para evaluación y publicación |
| Publication Date: | 2019 |
| Country: | España |
| Institution: | Universidad Politécnica de Cartagena(UPCT) |
| Repository: | Repositorio Digital UPCT |
| OAI Identifier: | oai:repositorio.upct.es:10317/8502 |
| Online Access: | http://hdl.handle.net/10317/8502 https://link.springer.com/article/10.1007%2Fs40314-019-0969-3 |
| Access Level: | Open access |
| Keyword: | Topological graph Discrete dynamical systems Lefschetz numbers Lefschetz zeta function Periodic point Period Topological entropy Matemática Aplicada 12 Matemáticas |
| Summary: | Let G be a graph and f be a continuous self–map on G. We provide sufficient conditions based on the Lefschetz zeta function in order that f has positive topological entropy. Moreover, for the particular graphs: p–flower graph, n-lips graph and (p+r1L1+:::+rsLs)–graph we are able to go further and state more precise conditions for having positive topological entropy. |
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