5 papers
A flexibility result for polynomial entropy of pointwise periodic homeomorphisms
MaÅ¡a ÄoriÄ, Jelena KatiÄ, Milan PeriÄ
We construct a family of continua and pointwise periodic homeomorphisms realizing arbitrary polynomial entropy values in . In particular, this provides examples of poi…
Complexity function and entropy of induced maps on hyperspaces of continua
Jelena KatiÄ, Darko MilinkoviÄ, Milan PeriÄ
We use the complexity function of an invariant, not necessary closed, subset of a two-sided shift space to compute the polynomial entropy of the induced dynamics on the hyperspace…
Polynomial entropy on regular curves
MaÅ¡a ÄoriÄ, Jelena KatiÄ
We show that the polynomial entropy of homeomorphisms on regular curves is bounded above by one. Moreover, the polynomial entropy equals one under the fairly mild condition that th…
Polynomial entropy of induced homeomorphisms on and
MaÅ¡a ÄoriÄ, Jelena KatiÄ
We compute the polynomial entropy of where is any circle or interval homeomorphism.
Shadowing property on hyperspace of continua induced by Morse gradient system
Jelena KatiÄ, Darko MilinkoviÄ
It is known that Morse-Smale diffeomorphisms have the shadowing property; however, the question of whether also has the shadowing property when is Morse-Smale remains op…