One-dimensional dynamical systems

DOI10.1070/RM9998zbMath1496.37015OpenAlexW4205210537MaRDI QIDQ5069061

L. S. Efremova, Elena N. Makhrova

Publication date: 8 April 2022

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm9998

zbMATH Keywords

horseshoeperiodic pointtopological entropydendritehomoclinic pointrotation setfinite graphone-dimensional continuumdegree of circle map

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Topological entropy (37B40) Continua theory in dynamics (37B45) Dynamical systems involving maps of the interval (37E05) Dynamical systems involving maps of trees and graphs (37E25) Rotation numbers and vectors (37E45)

Related Items (6)

Ramified continua as global attractors of C ¹ -smooth self-maps of a cylinder close to skew products ⋮ Remarks on minimal sets on dendrites and finite graphs ⋮ The paths of nine mathematicians to the realm of dynamical systems ⋮ Geometrically integrable maps in the plane and their periodic orbits ⋮ Simplest skew products on \(n\)-dimensional \((n\geq 2 )\) cells, cylinders and tori ⋮ Remarks on the existence of periodic points for continuous maps on dendrites

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