3 citations · 3 across the 6 of their papers we have counts for
7 papers · 1 filter
A transitive homeomorphism on the Lelek fan
Iztok Banič, Goran Erceg, Judy Kennedy
Let be a continuum and let be a homeomorphism. To construct a dynamical system with interesting dynamical properties, the continuum often needs t…
Sufficient conditions for non-zero entropy and finite relations
Iztok Banic, Rene Gril Rogina, Judy Kennedy +1
We introduce the notions of returns, dispersions and well-aligned sets for closed relations on compact metric spaces and then we use them to obtain non-trivial sufficient condition…
Transitive points in CR-dynamical systems
Iztok Banič, Goran Erceg, Sina Greenwood +1
We study different types of transitive points in CR-dynamical systems (X,G) with closed relations G on compact metric spaces X. We also introduce transitive and dense orbit transit…
Minimal dynamical systems with closed relations
Iztok Banic, Goran Erceg, Rene Gril Rogina +1
We introduce dynamical systems with closed relations on compact metric spaces and discuss different types of minimality of such dynamical systems, all of them gener…
Closed relations with non-zero entropy that generate no periodic points
Iztok Banic, Goran Erceg, Judy Kennedy
The paper is motivated by E. Akin's book about dynamical systems and closed relations [A], and by J. Kennedy's and G. Erceg's recent paper about the entropy of closed relations on…
Characterizations of -like continua that do not have the fixed point property
Iztok Banic, Judy Kennedy, Piotr Minc
We give two characterizations of -like continua that do not have the fixed point property. Both characterizations are stated in terms of sequences of open covers of…