Dynamics of induced homeomorphisms of one-dimensional solenoids Article

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Overview

abstract

• We study the displacement function of homeomorphisms isotopic to the identity of the universal one-dimensional solenoid and we get a characterization of the lifting property for an open and dense subgroup of the isotopy component of the identity. The dynamics of an element in this subgroup is also described using rotation theory. © 2018 American Institute of Mathematical Sciences. All rights reserved.

authors

• López-Hernández F.J.

publication date

• 2018-01-01

funding provided via

• Consejo Nacional de Ciencia y Tecnología, CONACYT  Grant

published in

• Discrete and Continuous Dynamical Systems- Series A  Journal

Research

keywords

• Induced homeomorphisms; Rotation theory; Solenoids

Identity

Digital Object Identifier (DOI)

• 10.3934/dcds.2018185

Additional Document Info

start page

• 4243

end page

• 4257

volume

• 38

issue

• 9