18 citations · 30 across the 17 of their papers we have counts for
6 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…
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…
Some considerations on the maximal safety distance in a graph
Goran Erceg, Aljosa Subasic, Tanja Vojkovic
The work in this paper is motivated by I. Banič's and A. Taranenko's recent paper, where they introduced a new notion, the span of a graph. Their goal was to solve the problem of k…
The Lelek fan as the inverse limit of intervals with a single set-valued bonding function whose graph is an arc
Iztok Banic, Goran Erceg, Judy Kennedy
We consider a family of inverse limits of inverse sequences of closed unit intervals with a single upper semi-continuous set-valued bonding function whose graph is an arc; it is th…
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…