The system of coupled oscillators and its time-discretization (with constant stepsize h) are considered in this paper. Under some conditions, it is showed that the discrete systems have one-dimensional global attractors lh converging to l which is the global attractor of continuous system.
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Wenxin, Q., Zengrong, L. Convergence of attractors. Appl Math Mech 18, 1153–1158 (1997). https://doi.org/10.1007/BF00713717
- coupled oscillators system
- horizontal curve