Recent development of chaos theory in topological dynamics

By Jian Li, Xiangdong Ye. 2015

120 citations recorded by the source corpus.

We give a summary on the recent development of chaos theory in topological dynamics, focusing on Li–Yorke chaos, Devaney chaos, distributional chaos, positive topological entropy, weakly mixing sets and so on, and their relationships.

Subfields: Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/a47b6ba6fd88375ae77f466fc6d72d3de8da3466

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Guohua Zhang
2. Wen Huang
3. S. Kolyada
4. Xiangdong Ye
5. Eli Glasner
6. Jian Li
7. Piotr Oprocha
8. David Kerr

In Mathematical Physics

1. Guohua Zhang
2. Wen Huang
3. S. Kolyada
4. Xiangdong Ye
5. Eli Glasner
6. Jian Li
7. A. Dooley
8. Felipe Garc'ia-Ramos

In Statistical and Nonlinear Physics

1. Wen Huang
2. Guohua Zhang
3. S. Kolyada

Citations in the corpus

• Analogues of Auslander–Yorke theorems for multi-sensitivity (2015, background): “We also thank Xiangdong Ye for sharing his joint work [20, 28], Joseph Auslander for his short proof of Lemma 4.”