Entropy and periods for continuous graph maps

DOI10.1007/s40314-021-01677-2zbMath1499.37074OpenAlexW3214207922MaRDI QIDQ2064950

Jaume Llibre, Victor F. Sirvent

Publication date: 6 January 2022

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

Full work available at URL: https://doi.org/10.1007/s40314-021-01677-2

zbMATH Keywords

graphstopological entropyperiodsLefschetz zeta functionLefschetz numbers

Mathematics Subject Classification ID

Topological entropy (37B40) Combinatorial dynamics (types of periodic orbits) (37E15) Dynamical systems involving maps of trees and graphs (37E25)

Related Items

On partially periodic point free self-maps on the wedge sums of spheres

Cites Work

• Brief survey on the topological entropy
• Horseshoes, entropy and periods for graph maps
• Estimation of the number of periodic orbits
• On the periods of a continuous self-map on a graph
• Topological entropy of continuous self-maps on a graph
• Partially periodic point free self-maps on surfaces, graphs, wedge sums and products of spheres
• PERIODIC POINTS OF ${\mathcal C}^1$ MAPS AND THE ASYMPTOTIC LEFSCHETZ NUMBER
• Topological Entropy
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