| INVARIANT MANIFOLDS AND THEIR STABILITY IN A THREE－DIMENSIONAL MEASURE－PRESERVING MAPPING SYSTEMS |
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| 引用本文： | 刘杰.INVARIANT MANIFOLDS AND THEIR STABILITY IN A THREE－DIMENSIONAL MEASURE－PRESERVING MAPPING SYSTEMS[J].应用数学和力学(英文版),1995,16(10):943-950. |
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| 作者姓名： | 刘杰 |
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| 摘 要： | ＩＮＶＡＲＩＡＮＴＭＡＮＩＦＯＬＤＳＡＮＤＴＨＥＩＲＳＴＡＢＩＬＩＴＹＩＮＡＴＨＲＥＥ－ＤＩＭＥＮＳＩＯＮＡＬＭＥＡＳＵＲＥ－ＰＲＥＳＥＲＶＩＮＧＭＡＰＰＩＮＧＳＹＳＴＥＭＳＬｉｕＪｉｅ（刘杰）（ＲｅｃｅｉｖｅｄＤｅｃ．１．１９９４；Ｃｏｍｍｕｎｉｃ...
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| 收稿时间： | 1 December 1994 |
Invariant manifolds and their stability in a three-dimensional measure-preserving mapping systems |
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| Liu Jie.Invariant manifolds and their stability in a three-dimensional measure-preserving mapping systems[J].Applied Mathematics and Mechanics(English Edition),1995,16(10):943-950. |
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| Authors: | Liu Jie |
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| 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. |
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| Keywords: | measure-preserving mapping chaos invariant manifold stability |
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