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MEASURE-PRESERVING MAPPING IN THE COUETTE-TAYLOR SYSTEM

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【Author】 ZHANG TIANLING (Department of Mathematics, Nanjing University) SUN YISUI (Department of Astronomy, Nanjing University)

【机构】 Department of Mathematics； Nanjing University； Department of Astronomy； Nanjing University；

【摘要】 <正> We discuss a kind of measure-preserving mappings T related to the Couette-Taylor system where A, B, C, D, E, F are parameters. This is a rather particular 3-dimensional measure-preserving mapping with existence of invariant curves(1-dimensional invariant manifolds) in the neighbourhood of a fixed point. The remits show that the ordered region will decrease when the perturbation parameters C, D, E, F increase and display the behaviour of mapping T at different distances from the fixed point.更多还原

【Abstract】 We discuss a kind of measure-preserving mappings T related to the Couette-Taylor system where A, B, C, D, E, F are parameters. This is a rather particular 3-dimensional measure-preserving mapping with existence of invariant curves(1-dimensional invariant manifolds) in the neighbourhood of a fixed point. The remits show that the ordered region will decrease when the perturbation parameters C, D, E, F increase and display the behaviour of mapping T at different distances from the fixed point.更多还原

【关键词】 invariant； preserving； behaviour； perturbation； rotating； ordered； correspondence； hence； instead； absolute；

【文献出处】 Science in China,Ser.A ,中国科学A辑(英文版) , 编辑部邮箱 ,1988年01期

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