Periods of continuous maps on some compact spaces

DOI10.1080/10236198.2017.1304932zbMath1378.37045OpenAlexW2597856793MaRDI QIDQ4978236

Jaume Llibre, Juan Luis García Guirao

Publication date: 8 August 2017

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

Full work available at URL: http://ddd.uab.cat/record/169489

zbMATH Keywords

periodic pointLefschetz numberperiodLefschetz zeta-function

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (4)

Cooperativity in Neurons–Astrocytes Coupled Dynamics ⋮ Nontrivial Effect of Time-Varying Migration on the Three Species Prey-Predator System ⋮ Periods of Morse-Smale diffeomorphisms on \(\mathbb{S}^n, \mathbb{S}^m \times \mathbb{S}^n, \mathbb{C}\mathbf{P}^n\) and \(\mathbb{H}\mathbf{P}^n\) ⋮ A global maximum principle for optimal control of general mean-field forward-backward stochastic systems with jumps

Cites Work

• Periodic structure of transversal maps on \(\mathbb C\mathrm P^n\), \(\mathbb H\mathrm P^n\) and \(\mathbb S^p\times\mathbb S^q\)
• Periodic point free continuous self-maps on graphs and surfaces
• On the Lefschetz periodic point free continuous self-maps on connected compact manifolds
• A Note on the Set of Periods of Transversal Homological Sphere Self-maps
• On problems of Topological Dynamics in non-autonomous discrete systems
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