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Convergence of attractors
Authors:Qin Wenxin  Liu Zengrong
Institution:1. Department of Mathematics. Suzhou University, Suzhou 215006, P. R. China;2. LNM. Institute of Mechanics, Chinese Academy of Sciences. Beijing 100080, P. R. China
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 thediscrete systems have one-dimensional global attroctors lh converging to I which is theglobal attractor of continuous system.
Keywords:coupled oscillators system  attractor  cone  horizontat curve
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