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.