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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 380-384Li-York Chaos of Set-Valued Discrete Dynamical...

Li-York Chaos of Set-Valued Discrete Dynamical Systems Based on Semi-Group Actions

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Abstract:

t is well known that a semi-groups 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 and its dinduced Hausdorff metric space. Letis a semi-group. We make continuously act on space. We study topological transitivity and betweenand. 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-grouponis Li-York chaos.

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Periodical:

Applied Mechanics and Materials (Volumes 380-384)

Pages:

1778-1782

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.380-384.1778

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Online since:

August 2013

Authors:

Yun Qian, Peng Guan

Keywords:

Hausdorff Metric, Li-York Chaos, Semi-Group Actions, Set-Valued Discrete Dynamical Systems, Topological Transitivity

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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