We demonstrate the existence of various forms of chaos (including transitive distributional chaos, w-chaos, topological chaos, and exact Devaney chaos) on two families of abstract Julia sets: the dendritic Julia sets DT and the "circular" ...

In this short, simple paper we answer a question of Fu and You by considering the properties of chaotic pairs of points in the sense of Li and Yorke for shift maps on symbolic dynamical ...

If x and y belong to a metric space X , we call (x,y) a DC1 scrambled pair for f:X→X if the following conditions hold: 1) for all t>0, , and 2) for some t>0, ...

In this talk, we will briefly discuss the set Λ and the notions of Λ-acceptable and (Λ, τ)-admissible sequences. Baldwin has demonstrated that, for a given Λ-acceptable sequence τ, the set of (Λ, τ)-admissible sequences ...

In this talk, we will briefly discuss the set Λ and the notions of Λ-acceptable and (Λ, τ)-admissible sequences. Baldwin has demonstrated that, for a given Λ-acceptable sequence τ, the set of (Λ, τ)-admissible sequences ...

In this talk, we will briefly discuss the set L and the notions of L-acceptable and (L, t)-admissible sequences. Baldwin has demonstrated that, for a given L-acceptable sequence t, the set of (L, t)-admissible sequences ...