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《Journal of Guangxi Normal University(Natural Science)》 1988-01
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CRITICAL PROPERTIES OF ONE-DIMENSIONAL CIRCLE MAPPING

Tu Renfang Chen Guangzhi Chen Shigang Wang Guangrui( Tsinghua University ) ( Guangxi Normal University )(No. 8 POB8009 Beijing)  
In this paper, we investigate the scaling property of a critical line of one dimensional mapping of a circle, and a series of sealing factor is obtained.The fractional dimension of quasi-periodicity point at a critical line is calculated by means of the method of Hentsched et al andis in accordance with the resalt of P.Bak et al. At the same time the information demension and the correlation demension of the quasi-periodicity point at a critical line are calculated.In supercritical rigion thequasi-periodic motion disappears, and chaos arises in addition to the periodic motion.The measure of the chaos is described by the critical exponent β= 0.26± 0.01.
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【References】
Chinese Journal Full-text Database 1 Hits
1 WANG Qi-wen1,CHEN Shao-ying1,2,CHEN Guang-zhi3,WANG Guang-rui4(1.Department of Physics,Hulunbeier College,Hulunbeier 021008,China;2.Beijing Graduate School of China Academy of Engineering Physics,Beijing 100088,China;3.College of Physics,Guangxi University,Nanning 530004,China;4.Institute of Applied Physics and Computational Mathematics,Beijing 100088,China);Circle Maps and Henon Map of Chaos Theory[J];Journal of Inner Mongolia University for Nationalities(Natural Sciences);2007-05
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