On the growth rate inequality for periodic points in the two sphere

DOI10.1080/10236198.2018.1564287zbMath1450.37019arXiv1707.06144OpenAlexW2963421743MaRDI QIDQ4632372

Francisco Valenzuela, Gerardo Honorato, Alvaro Rovella, Aldo Portela, Jorge Iglesias, Juliana Xavier

Publication date: 29 April 2019

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

Full work available at URL: https://arxiv.org/abs/1707.06144

zbMATH Keywords

topological dynamicslow-dimensional dynamical systemsgrowth rate inequalityLefschetz's index

Mathematics Subject Classification ID

Orbit growth in dynamical systems (37C35) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Universality and renormalization of dynamical systems (37E20) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (1)

Periodic points for sphere maps preserving monopole foliations

Cites Work

• Fixed point indices of planar continuous maps
• Periodic points on the \(2\)-sphere
• Periodic points of latitudinal sphere maps
• Dynamics of annulus maps III: periodic points and completeness
• Dynamics of annulus maps II: Periodic points for coverings
• Sphere branched coverings and the growth rate inequality
• Shub’s conjecture for smooth longitudinal maps of
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