Multi-parameter homotopy methods for finding DC operating points of nonlinear circuits
Multi-parameter homotopy methods for finding DC operating points of nonlinear circuits
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DOI：
10.1109/iscas.1993.394267
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发表时间：
1993-05
期刊：
影响因子：
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通讯作者：
D. Wolf;S. Sanders
中科院分区：
文献类型：
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作者：
D. Wolf;S. Sanders
介绍了求非线性电路直流解的实多参数同伦方法和复多参数同伦方法。他们利用代数拓扑、电路和多项式实例的论证表明，多参数同伦方法可以避免解路径上的分岔点和折叠，并且相对容易地找到多个解。这些概念在一个带尖的三阶多项式、一个带折的物体和一个分岔点以及两个电路例子上得到了说明。假设紧域上的简单、孤立解点
The authors introduce real and complex multi-parameter homotopy methods for finding DC solutions of nonlinear circuits. They show, using arguments from algebraic topology and circuit and polynomial examples, that multi-parameter homotopy methods can avoid bifurcation points and folds along solution paths, and find multiple solutions with relative ease. These concepts are illustrated on a third-order polynomial with a cusp, an object with folds and a bifurcation point, and on two circuit examples. Simple, isolated solution points in a compact region are assumed.>