18 citations · 26 across the 12 of their papers we have counts for
13 papers
An embedding of the Cantor fan into the Lelek fan
Iztok Banič, Goran Erceg, Judy Kennedy
The Lelek fan is usually constructed as a subcontinuum of the Cantor fan in such a way that the set of the end-points of is dense in . It easily follows that the Lelek f…
Transitive mappings on the Cantor fan
Iztok Banič, Goran Erceg, Judy Kennedy +2
Many continua that admit a transitive homeomorphism may be found in the literature. The circle is probably the simplest non-degenerate continuum that admits such a homeomorphism. O…
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…
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…
Mapping and fixed point property theorems for inverse limits with set-valued bonding functions
Iztok Banic, Goran Erceg, Judy Kennedy
Among other results, the paper gives new mapping theorems and new fixed point property theorems for inverse limits of inverse sequences of compact metric spaces with upper semicont…
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…
Minimal non-invertible maps on the pseudo-circle
Jan P. Boronski, Judy Kennedy, Xiao-Chuan Liu +1
In this article, we show that R.H. Bing's pseudo-circle admits a minimal non-invertible map. This resolves a problem raised by Bruin, Kolyada and Snoha in the negative. The main to…
Topological entropy of closed sets in
Goran Erceg, Judy Kennedy
We generalize the definition of topological entropy due to Adler, Konheim, and McAndrew \cite{AKM} to set-valued functions from a closed subset of the interval to closed subset…
Bizarre topology is natural in dynamical systems
Judy A. Kennedy, James A. Yorke
We describe an example of a diffeomorphism on a 7--manifold which has a compact invariant set such that uncountably many of its connected components are pseudocircles. (…