三维保测度映射系统不变流形及其稳定性

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nvariant Manifolds and Their Stability in a Three-Dimensional Measure-preserving Mapping System

Center for Nonlmear Stuidies, Institute of Applied Physies and Computational Mathematics, Beijing 100088, P. R. China

摘要: 本文通过构造形式级数的方式,给出了一种三维保测度映射系统中一维不变流形和二维不变流形的计算方法。利用不变流形的解析表达式我们估计了导致共振带完全失稳的临界参数。
- 保测度映射 /
- 混沌 /
- 不变流形 /
- 稳定性
Abstract: In the paper researches on a three-dimensional measure-preserving mapping system are made,wthich is the three-dimensional extension of the Keplerian mapping.With the formal series method the expressions of the invariant curves and invariant tori are obtained.Finally the stability of these invariant manifolds is also discussed.
- measure-preserving mapping /
- chaos /
- invariant manifold /
- stability

[1]	Y,S,Sun,A perturbed extension of hyperbolic twist mappings,Celest.Mech.,42(1988).369.
[2]	C,Q,Cheng,et al.,Existence of invariant tori in three-dimensional mapping,Celest,Mech.,47(1990 ),275.
[3]	孙义遂,保测度映射的随机性,中国科学A辑,(10)(1983),923.
[4]	Liu Jie,et al.,Chaotic motion of comets with near-par colic orbit,Celestial Mechanics and Dynamical Astronomy,60(1994),3.
[5]	张天岭等,Couette-Taylor流中保测度映射,中国科学A辑,(5)(1987),517.
[6]	T.Y.Petrosky,Chaos and cometzry clouds in the solar system,Physics Letters A,11(7)(1986),383-385.
[7]	A,J.Lichtenberg and M.A.Liebarman,Regular and Stochastic Motions,Springer-Verlag(1983).