Topological entropy of continuous self-maps on closed surfaces

DOI10.1080/10236198.2019.1710141zbMath1439.37016OpenAlexW3000243822MaRDI QIDQ4960137

Wei Gao, Jaume Llibre, Juan Luis García Guirao

Publication date: 9 April 2020

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/221330

zbMATH Keywords

periodic pointclosed surfaceLefschetz fixed point theoryset of periodscontinuous self-map

Mathematics Subject Classification ID

Continuous maps (54C05) Topological entropy (37B40) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Cites Work

• Brief survey on the topological entropy
• Algebraic properties of the Lefschetz zeta function, periodic points and topological entropy
• Topological entropy and periods of graph maps
• On problems of Topological Dynamics in non-autonomous discrete systems
• Topological Entropy
• Entropy for Group Endomorphisms and Homogeneous Spaces
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