Continuity of Entropy for Bimodal Maps |
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| Authors: | Alseda Lluis; Manosas Francesc; Mumbru Pere |
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| Institution: | Departament de Matemàtiques, Universitat Autònoma de Barcelona 08193-Bellaterra, Barcelona, Spain
Departament de Matemàtica Aplicada i Anàlisi, Universitat de Barcelona Gran Via 585, 08071-Barcelona, Spain |
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| Abstract: | We characterize the continuity of the topological entropy ofbimodal maps of the interval and of the circle in terms of thebehaviour of the iterates of the turning points and of the valueof the topological entropy of the map under consideration. Inthe case of bimodal circle maps of degree one we also studythe continuity of the entropy in terms of their rotation intervals. |
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