Li-York Chaos of Set-valued Discrete Dynamical Systems Based on Semi-group Actions

DOI

10.2991/iccsee.2013.519How to use a DOI?

Keywords

semi-group Actions, set-valued discrete dynamical systems, Li-York chaos, topological transitivity, Hausdorff metric

Abstract

It is well known that a semi-group’s action on a space could appear chaos phenomenon, like Li-York chaos and so on. Li-York chaos has important relations with topological transitivity and periodic point. This study analyzed metric space(X,d) and it’s dinduced Hausdorff metric space(k(X),H) . Let T is a semi-group. We make T continuously act on space(X,d) . We study topological transitivity and between(X,d)and(k(X),H). Some important results are presented which show that if is topological transitivity and periodicity (which means Li-York chaos at the same time), then the action of semi-group T on(k(X),H) is Li-York chaos.

Copyright

© 2013, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Yun QIAN
AU  - Peng GUAN
PY  - 2013/03
DA  - 2013/03
TI  - Li-York Chaos of Set-valued Discrete Dynamical Systems Based on Semi-group Actions
BT  - Proceedings of the 2nd International Conference on Computer Science and Electronics Engineering (ICCSEE 2013)
PB  - Atlantis Press
SP  - 2062
EP  - 2065
SN  - 1951-6851
UR  - https://doi.org/10.2991/iccsee.2013.519
DO  - 10.2991/iccsee.2013.519
ID  - QIAN2013/03
ER  -