Analysis of border-collision bifurcation in a simple circuit

Analysis of border-collision bifurcation in a simple circuit
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简单电路中的边界碰撞分岔分析

DOI：
10.1109/iscas.2000.856370
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发表时间：
2000
期刊：
2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353)
影响因子：
--
通讯作者：
Minoru Abe
Minoru Abe
中科院分区：
--
文献类型：
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作者：
T. Kousaka;Takashi Kido;T. Ueta;H. Kawakami;Minoru Abe

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本文考虑一个被自身状态和周期区间中断的系统。我们知道该系统具有发生边界碰撞分岔的前景。为了分析动力学的性质，我们推导出一个一维映射明确。在两参数空间中给出了一些定理和周期解区域的存在性。实验结果验证了理论分析的正确性。
This paper considers a system interrupted by own state and a periodic interval. We know this system has prospects of occurrence of border-collision bifurcation. To analyze properties of the dynamics, we derive a one-dimensional map explicitly. We show some theorems and the existence of regions of periodic solution within two-parameter space. Some theoretical results are verified by laboratory experiments.