Topological entropy of maps on the real line |
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Institution: | 1. Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, Spain;2. Departamento de Métodos Cuantitativos e Informáticos, Universidad Politécnica de Cartagena, Spain |
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Abstract: | The aim of this paper is to introduce a definition of topological entropy for continuous maps such that, at least for continuous real maps, it keeps the following general philosophy: positive topological entropy implies that the map has a complicated dynamical behaviour. Besides, we pursue that our definition keeps some properties which are hold by the classic definition of topological entropy introduced for compact sets. |
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