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Realization of Arbitrary Configuration of Limit Cycles of Piecewise Linear Systems
International Journal of Bifurcation and Chaos ( IF 1.9 ) Pub Date : 2020-08-09 , DOI: 10.1142/s0218127420501333
Shaoqing Wang 1 , Jiazhong Yang 1
Affiliation  

In this paper, we consider the realization of configuration of limit cycles of piecewise linear systems on the plane. We show that any configuration of finite number of Jordan curves can be realized by a discontinuous piecewise linear system with two zones separated by a continuous curve.

中文翻译:

分段线性系统极限环任意构型的实现

在本文中,我们考虑在平面上实现分段线性系统的极限环配置。我们表明,有限数量的 Jordan 曲线的任何配置都可以通过不连续的分段线性系统实现,该系统具有由连续曲线分隔的两个区域。
更新日期:2020-08-09
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