Topological entropy of continuous self-maps on a graph

DOI10.1007/s40314-019-0969-3zbMath1438.37025OpenAlexW2978983512MaRDI QIDQ2326346

Wei Gao, Jaume Llibre, Juan Luis García Guirao

Publication date: 7 October 2019

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10317/8502

zbMATH Keywords

discrete dynamical systemsperiodic pointtopological entropyperiodtopological graphLefschetz zeta functionLefschetz numbers

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Topological entropy (37B40) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Dynamical systems involving maps of trees and graphs (37E25)

Related Items (1)

Entropy and periods for continuous graph maps

Cites Work

• New proofs of some results of Nielsen
• Horseshoes, entropy and periods for graph maps
• Minimal subshifts which display Schweizer-Smítal chaos and have zero topological entropy
• Algebraic properties of the Lefschetz zeta function, periodic points and topological entropy
• Estimation of the number of periodic orbits
• On the periods of a continuous self-map on a graph
• Graphs of stable maps between closed orientable surfaces
• PERIODIC POINTS OF ${\mathcal C}^1$ MAPS AND THE ASYMPTOTIC LEFSCHETZ NUMBER
• On problems of Topological Dynamics in non-autonomous discrete systems
• Topological Entropy
• Entropy for Group Endomorphisms and Homogeneous Spaces
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