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

  • Received Date: 1996-03-11
  • Publish Date: 1997-12-15
  • 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.
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  • [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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