Periodic Points of Regular Curve Homeomorphisms
Sign Up to like & getrecommendations! Published in 2021 at "Qualitative Theory of Dynamical Systems"
DOI: 10.1007/s12346-021-00471-z
Abstract: We prove that, if $$f:X\rightarrow X$$ is a regular curve homeomorphism then the set of periodic points is either empty or dense in the set of non-wandering points. Moreover, we prove that each infinite minimal… read more here.
Keywords: periodic points; curve homeomorphisms; regular curve; points regular ... See more keywords
On regular curve homeomorphisms without periodic points
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Difference Equations and Applications"
DOI: 10.1080/10236198.2021.1912030
Abstract: The purpose of this paper is to study the dynamics of regular curve homeomorphisms without periodic points. We prove mainly that they are extensions of irrational rotations of the circle via a mono... read more here.
Keywords: periodic points; curve homeomorphisms; without periodic; regular curve ... See more keywords