| 二阶自治非线性电路与系统中振荡的分析 |
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| 引用本文： | 谢长焱.二阶自治非线性电路与系统中振荡的分析[J].中南大学学报(自然科学版),1987(1). |
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| 作者姓名： | 谢长焱 |
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| 作者单位： | 中南矿冶学院自动控制工程系 |
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| 摘 要： | HOPF 分叉定理在 n 维系统中一般形式的证明目前已有各种不同的方法,本文对它在二维系统中的局部形式,运用李雅普诺夫第二方法进行了较直接易懂的证明,并通过实例说明如何将该定理用于非线性电路与系统中所产生的接近正弦振荡的分析.
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| 关 键 词： | 非线性电路 电路振荡 电路分析 李雅普诺夫方法 平衡点 曲率 |
ANALYSIS OF OSCILLATION IN SECOND-ORDER AUTON OMOUS NONLINEAR CIRCUITS AND SYSTEMS |
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| Xie Changyan.ANALYSIS OF OSCILLATION IN SECOND-ORDER AUTON OMOUS NONLINEAR CIRCUITS AND SYSTEMS[J].Journal of Central South University:Science and Technology,1987(1). |
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| Authors: | Xie Changyan |
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| Institution: | Department of Automatic Control Engineering |
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| Abstract: | Recently there are many methods for proving HOPF bifurcation theorem in ndimensional systems.The present paper has given a more directly and easily understood method by using Lyapunov function to prove this theorem in two-dimensional case.Some example for explaining how to apply this theorem to analysing
the nearly sinusoidal oscillation in nonlinear autonomous circuits has also been presented in this article. |
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| Keywords: | non-linear circuit circuit oscillations circuit analysis Lyapunov's method equilibrium points curvature |
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