Mean proximality and mean Li-Yorke chaos Article uri icon

abstract

  • We prove that if a topological dynamical system is mean sensitive and contains a mean proximal pair consisting of a transitive point and a periodic point, then it is mean Li-Yorke chaotic (DC2 chaotic). On the other hand we show that a system is mean proximal if and only if it is uniquely ergodic and the unique measure is supported on one point. © 2016 American Mathematical Society.

publication date

  • 2017-01-01