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电力系统的多重(维)鞍结分岔点及其特征分析 被引量:7
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作者 衣涛 王承民 +1 位作者 谢宁 张焰 《电工技术学报》 EI CSCD 北大核心 2015年第20期145-150,共6页
电力系统平衡解曲线的显式表达对鞍结分岔点性态的研究至关重要。本文通过引入支路电流变量,将节点电压方程表示成一元二次的形式,得到以支路电流为参数的电力系统平衡解曲线显式表达式,进一步对鞍结分岔进行节点特征描述,通过定义鞍结... 电力系统平衡解曲线的显式表达对鞍结分岔点性态的研究至关重要。本文通过引入支路电流变量,将节点电压方程表示成一元二次的形式,得到以支路电流为参数的电力系统平衡解曲线显式表达式,进一步对鞍结分岔进行节点特征描述,通过定义鞍结分岔点的重数(维数)和雅可比矩阵的特征值分析,说明鞍结分岔点的重(维)数与雅可比矩阵特征值为零的对数是相同的,多重(维)鞍结分岔点代表系统更临近的稳定边界,并提出多重(维)鞍结分岔点的降维求解算法。仿真计算表明,本文所提出的方法是正确的。 展开更多
关键词 平衡解曲线 支路电流 鞍结分岔点 () 雅可比矩阵特征值
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Nonlinear characteristics and functional analysis of masseter electromyography
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作者 胡昕 吴箫博 +3 位作者 邹波 傅予力 喻意 卢广文 《Journal of Central South University》 SCIE EI CAS 2011年第3期834-839,共6页
The C-C method was adopted to analyze the nonlinear characteristics of masseter electromyography (EMG) signals and the chaotic degree by the largest Lyapunov exponent (LLE) of different genders and sides. First, t... The C-C method was adopted to analyze the nonlinear characteristics of masseter electromyography (EMG) signals and the chaotic degree by the largest Lyapunov exponent (LLE) of different genders and sides. First, the embedding dimension and the delay time were obtained through this method, then the phase space was reconstructed to resume the chaotie attractor and determine the LLE. The result shows that the trajectory of attractor is denser than Chen's attractor, and the LLE is positive, which means that not only the signal has the character of chaos, but also the chaotic degree of masseter EMG is relatively high. According to the value of the LLE, the chaotic degree of men's masseter EMG is higher than that of women's; when the dentition is normal, the chaotic degree of two sides is almost the same. Then, a conclusion can be deduced that if the LLE of both sides are in great difference, the unilateral mastication is likely to exist, which means that the nonlinear characteristics of masseter EMG can be applied to predict the unilateral mastication. 展开更多
关键词 nonlinear characteristic masseter electromyograph C-C Method phase space reconstruction ATTRACTOR Lyapunovexponent
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