AUSLANDER–YORKE CHAOS FOR GROUP ACTIONS ON DENDRITES-Reference-Cited by-同舟云学术

AUSLANDER–YORKE CHAOS FOR GROUP ACTIONS ON DENDRITES

Published:2013-06 Issue:06 Volume:23 Page:1350097
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

WANG SUHUA¹,SHI ENHUI²,ZHU YUJUN³,CHEN BIN⁴

Affiliation:

1. Zhangjiagang Campus, Jiangsu University of Science and Technology, Zhangjiagang 215600, P. R. China

2. School of Mathematical Sciences, Soochow University, Suzhou 215006, P. R. China

3. College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050024, P. R. China

4. Department of Mathematics, Nanjing University, Nanjing 210093, P. R. China

Abstract

We show that each sensitive group action on a dendrite contains an Auslander–Yorke chaotic subsystem. By this conclusion, we prove that each sensitive group action on a dendrite must have positive geometric entropy when the acting group is finitely generated, and no dendrite admits a sensitive nilpotent group action.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127413500971

Reference24 articles.

1. Interval maps, factors of maps, and chaos

2. TOWARD A THEORY OF FORCING ON MAPS OF TREES

3. Continuous itinerary functions and dendrite maps

4. Minimal Sets on Graphs and Dendrites

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