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

Liu Jie

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Article Navigation > Applied Mathematics and Mechanics > 1995 > 16(10): 879-888

Liu Jie. nvariant Manifolds and Their Stability in a Three-Dimensional Measure-preserving Mapping System[J]. Applied Mathematics and Mechanics, 1995, 16(10): 879-888.

Citation:

Liu Jie. nvariant Manifolds and Their Stability in a Three-Dimensional Measure-preserving Mapping System[J]. Applied Mathematics and Mechanics, 1995, 16(10): 879-888.

Citation:

Liu Jie. nvariant Manifolds and Their Stability in a Three-Dimensional Measure-preserving Mapping System[J]. Applied Mathematics and Mechanics, 1995, 16(10): 879-888.

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

Liu Jie

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

Received Date: 1994-12-01
Publish Date: 1995-10-15

Abstract

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

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References(7)

References

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