Bifurcation Analysis of Switched Dynamical Systems with Periodically Moving Borders

机译：具有周期性运动边界的切换动力系统的分叉分析

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Switched dynamical systems are useful in a variety of engineering applications in electrical engineering, switched dynamical systems are found in sampled-data filters, oscillators, power converters, chaos generators, etc. We consider a kind of switched dynamical system with periodically moving borders in this paper. Bifurcation problem including period-doubling, tangent bifurcation and even border collision are investigated in detail. To illustrate the practicality of the method, we apply the analysis procedure to a popular voltage feedback buck converter. Results in this paper may help engineers in their design.

机译：开关动力系统在电气工程的各种工程应用中很有用，在采样数据滤波器，振荡器，功率转换器，混沌发生器等中可以找到开关动力系统。在此，我们考虑一种边界周期性移动的开关动力系统。纸。详细研究了分叉问题，包括周期倍增，切线分叉甚至边界碰撞。为了说明该方法的实用性，我们将分析程序应用于流行的电压反馈降压转换器。本文的结果可能对工程师的设计有所帮助。

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来源
《Shanghai international symposium on nonlinear science amp; application》|2003年|p.89|共1页
会议地点 Shanghai(CN);Shanghai(CN)
作者
Yue Ma; Hiroshi Kawakami; C.K. Tse;
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作者单位

Tokushima University, Japan;

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原文格式 PDF
正文语种 eng
中图分类 N9;
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专利

1. Bifurcation analysis of switched dynamical systems with periodically moving borders [J] . Yue Ma, Kawakami H., Tse C.K. IEEE transactions on circuits and systems . I , Regular papers . 2004,第6期

机译：具有周期性运动边界的切换动力系统的分叉分析
2. A general method to stabilize unstable periodic orbits for switched dynamical systems with a periodically moving threshold [J] . Miino Yuu, Ito Daisuke, Asahara Hiroyuki, International journal of circuit theory and applications . 2018,第12期

机译：具有周期性运动阈值的切换动力系统稳定不稳定周期轨道的一般方法
3. Connecting Border Collision With Saddle-Node Bifurcation in Switched Dynamical Systems [J] . Yue Ma, Chi K. Tse, Takuji Kousaka, IEEE Transactions on Circuits and Systems. II, Express Briefs . 2005,第9期

机译：切换动力系统中边界碰撞与鞍节点分叉的连接
4. ANALYSIS OF BIFURCATION IN SWITCHED DYNAMICAL SYSTEMS WITH PERIODICALLY MOVING BORDERS: APPLICATION TO POWER CONVERTERS [C] . Yue Ma, Hiroshi Kawakami, Chi K. Tse IEEE International Symposium on Circuits and Systems . 2004

机译：具有周期性移动边框的交换式动态系统中分叉分析：电源转换器的应用
5. New theoretical results on stability regions and bifurcations of nonlinear dynamical systems and their applications to electric power systems analysis. [D] . Fekih-Ahmed, Lazhar. 1991

机译：非线性动力系统稳定区域和分支的新理论成果及其在电力系统分析中的应用。
6. Switch of Sensitivity Dynamics Revealed with DyGloSA Toolbox for Dynamical Global Sensitivity Analysis as an Early Warning for Systems Critical Transition [O] . Tatiana Baumuratova, Simona Dobre, Thierry Bastogne, -1

机译：DyGloSA工具箱揭示了动态灵敏度的变化可进行动态全局灵敏度分析作为系统关键过渡的预警
7. Bifurcation analysis of switched dynamical systems with periodically moving borders [O] . Ma, Y, Kawakami, H, Tse, CKM 2004

机译：具有周期性运动边界的切换动力系统的分叉分析

Bifurcation Analysis of Switched Dynamical Systems with Periodically Moving Borders

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