9 citations · 24 across the 22 of their papers we have counts for
22 papers
On the Chaos in Continuous Weakly Mixing Maps
Bau-Sen Du
Let be an infinite locally compact separable metric space with metric and let be a continuous weakly mixing map. Let $β…
Continuous Transitive Maps on the Interval Revisited
Bau-Sen Du
In this note, continuous transitive maps on the interval are re-addressed, where denotes one of the intervals: , , , $[a,…
An Interesting Application of the Intermediate Value Theorem: A Simple Proof of Sharkovsky's Theorem and the Towers of Periodic Points
Bau-Sen Du
This note is intended primarily for college calculus students right after the introduction of the Intermediate Value Theorem, to show them how the Intermediate Value Theorem is use…
On the Class of Similar Square {-1,0,1}-Matrices Arising from Vertex maps on Trees
Bau-Sen Du
Let be an integer. In this note, we show that the {\it oriented} transition matrices over the field of all real numbers (over the finite field …
On the number of parameters for which the point is a superstable periodic point of
Bau-Sen Du
Let be a one-parameter family of real continuous maps with parameter . For every positive integer , let denote the number of parameters su…
What make them all so turbulent
Bau-Sen Du
We give a unified proof of the existence of turbulence for some classes of continuous interval maps which include, among other things, maps with periodic points of odd periods > 1,…