Volume no :3, Issue no: 1, August 2009

SOME NOTES ON MINIMALITY IN DYNAMICAL SYSTEMS

Author's: Ren Yunli, Lv Jinfeng, Yan Xinhua and Niu Xiuyan
Pages: [1] - [6]
Received Date: October 28, 2008; Revised February 03, 2009
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Abstract

In this paper, minimal systems are classified according to an isolated point existing or not. And as for a homeomorphism on a sequentially compact space, an equicontinuous homeomorphism on a compact metric space and the product of two minimal maps, necessary and sufficient conditions for the map to be minimal are given.

Keywords

minimality, minimal set, classification, equicontinuous homeomorphism, product.