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中文摘要：
现代机械系统越来越多地采用轻质柔性材料，使得系统具有不同时间尺度的状态变量，如果同时考虑控制环节中不可避免的时滞，则这种系统是带有时滞的快一慢耦合系统．本文首先概述了快一慢耦合系统的基础理论及其发展概况；然后介绍了含有时滞的快一慢耦合系统的若干非线性动力学问题及研究进展；最后对进一步的研究提出了自己的看法．
英文摘要：
Modern mechanical systems tend to adopt light flexible materials, and thus involve state variables with different time scales. Taking the unavoidable delay in control path into consideration, such kind of systems can be modeled as slow-fast system with time delay. In this paper, some basic facts of slow-fast systems are given firstly. Then, advances in the nonlinear dynamics of slow-fast systems with time delay are presented. And finally, several problems for future investigation are suggested.
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