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.
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.
Convergence of Attractors
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
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 lh converging to I which is the global attractor of continuous system.
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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