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MEASURE-PRESERVING MAPPING IN THE COUETTE-TAYLOR SYSTEM

MEASURE-PRESERVING MAPPING IN THE COUETTE-TAYLOR SYSTEM
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摘要 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. 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.
出处 《Science China Mathematics》 SCIE 1988年第1期87-97,共11页 中国科学:数学(英文版)
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