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《Journal of Chongqing Normal University(Natural Science Edition)》 2007-03
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Some Enough-Conditions of Chaotic Self-Maps on Interval

WANG Jun-xiang(College of Mathematics and Computer Science,Chongqing Normal University,Chongqing 400047,China)  
Based on the predecessor's researches,this paper classifies the characteristics of the ω-limit point locus into various cases and gets two enoughconditions,i.e.theorem ltheorem 2,is put forward,one set f as on the line segment I upon by oneself continuously,x∈ω(f)-P(f).If exist mi∈N(i→+∞ and mi→+∞),make f mi+3(x)f mi(x)f i+2(x)f mi+1(x) is established,then f is Chaos in I.and One set f as on the line segment I upon by oneself continuously,x∈ω(f)-P(f).If exist mi∈N(i→+∞ and mi→∞) ,make f mi+3(x)fmi(x)f mi+2(x)f mi+1(x) is established,then f is Chaos in I.Further more,it announces the essence of the Chaos phenomenon.
【Fund】: 重庆市教委科学研究项目(No.05JWSK054)
【CateGory Index】: O415.5
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1 LU Tian-xiu1,2,ZHU Pei-yong1(1.School of Mathematical Sciences,University of Electronic Science and Technology of China,Chengdu 610054,Sichuan;2.Institute of Science,Sichuan College of Science and Engineering,Zigong 643000,Sichuan);The Periodic Points of a Continuous Self-Mapping on CDLOTS[J];Journal of Sichuan Normal University(Natural Science);2010-05
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1 LIN Yin-he~(1,2)(1.College of Mathematics and Physics,Lishui University,Lishui Zhejiang 323000;2.College of Mathematics and Computer Science,Chongqing Normal University,Chongqing 400047,China);A Note about the Chaotic Set and the Asymptotic Periodic Point[J];Journal of Jiangxi Normal University(Natural Sciences Edition);2006-04
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