Invariant Sub-Manifolds and Modes of Nonlinear Autonomous Systems

Zhao Guojing; Wei Jianguo

Volume 19 Issue 7

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Abstract

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Article Navigation > Applied Mathematics and Mechanics > 1998 > 19(7): 641-647

Zhao Guojing, Wei Jianguo. Invariant Sub-Manifolds and Modes of Nonlinear Autonomous Systems[J]. Applied Mathematics and Mechanics, 1998, 19(7): 641-647.

Citation:

Zhao Guojing, Wei Jianguo. Invariant Sub-Manifolds and Modes of Nonlinear Autonomous Systems[J]. Applied Mathematics and Mechanics, 1998, 19(7): 641-647.

Citation:

Zhao Guojing, Wei Jianguo. Invariant Sub-Manifolds and Modes of Nonlinear Autonomous Systems[J]. Applied Mathematics and Mechanics, 1998, 19(7): 641-647.

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Invariant Sub-Manifolds and Modes of Nonlinear Autonomous Systems

Zhao Guojing^1,2,
Wei Jianguo^1,2

1.
Peking Graduate School, China University of Mining and Technology, Beijing 100083. P. R. China;
2.
College of Urban and Rural Construction, Agricultural University of Hebei, Baoding 071001, P. R. China

Received Date: 1997-02-17
Publish Date: 1998-07-15

Abstract

Abstract

A definition of the modes of a nonlinear autonomous system was developed.The existence conditions and orbits' nature of modes are given by using the geometry theory of invariant manifolds that include stable manifold theorem,center maifold theorm and sub-center manifold theorem.The Taylor series exyansion was used inorder to approach the sub-manifolds of the modes and obtain the motions of the mods on the manifolds.Two examples were given to demonstrate the applications.
- invariant manifold,
- mode,
- nonlinear system

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References(13)

References

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