Convergence of Attractors

Qin Wenxin; Liu Zengrong

Volume 18 Issue 12

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Abstract

References

Article Navigation > Applied Mathematics and Mechanics > 1997 > 18(12): 1075-1080

Qin Wenxin, Liu Zengrong. Convergence of Attractors[J]. Applied Mathematics and Mechanics, 1997, 18(12): 1075-1080.

Citation:

Qin Wenxin, Liu Zengrong. Convergence of Attractors[J]. Applied Mathematics and Mechanics, 1997, 18(12): 1075-1080.

Citation:

Qin Wenxin, Liu Zengrong. Convergence of Attractors[J]. Applied Mathematics and Mechanics, 1997, 18(12): 1075-1080.

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Convergence of Attractors

Qin Wenxin^1,2,
Liu Zengrong^1,2

1.
Department of Mathematics, Suzhou Universitg, Suzhou 215006;
2.
LNM, Institute of Mechanics, Chinese Academy of Science, Beijing, 100080, P. R. China

Received Date: 1996-03-11
Publish Date: 1997-12-15

Abstract

Abstract

The system of coupled oscillators and its time-discretization (with constantstepsize h) are considered in this paper. Under some conditions, it is showed that the discrete systems have one-dimensional global attroctors l_h converging to I which is the global attractor of continuous system.
- coupled oscillators system,
- attractor,
- cone,
- horizontat curve

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References(4)

References

[1]	J.Lorenz.Numerics of invariant manifolds and attractors.in Chaotic NumericsContemporary Mathematics,172 (1994),18-202.
[2]	Y.Kuramoto.Chemical Oscillations.Waves and Turbulence,Springer-Verlag New York,(1984).
[3]	P.Kloeden and J.Lorenz.Stable attracting sets in dynamical systems and in their onestep discretizations.SIAM J.Numer.Anal.23.5 (1986).986-995.
[4]	Qian Min.Shen Wenxian and Zhang Jinyan.Global behavior in the dynamical equationof J J type,J.Differential Equations 71.2 (1988),315-333.

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