Science and Mathematics Faculty Presentations
Distributional Chaos in Dendrites
Document Type
Conference Presentation
Event Date
7-2014
Conference/Event
Summer Conference on Topology and its Applications
Location
Staten Island, NY
Abstract
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 in L is a dendrite.
We show that these dendrites exhibit distributional chaos of the first type (also known as Schweizer-Smital chaos).
Recommended Citation
Averbeck, Nathan and Raines, Brian E., "Distributional Chaos in Dendrites" (2014). Science and Mathematics Faculty Presentations. 270.
https://digitalcommons.cedarville.edu/science_and_mathematics_presentations/270
