Analysis of bifurcation points of nonlinear resistive circuits by curve tracing method

In this paper, we discuss a computational method for obtaining the bifurcation points of nonlinear resistive circuits. There are many kinds of the bifurcation points such as limit point, branch point and isola. At these singular points, the Jacobian matrix becomes singular so that we cannot apply us...

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Vydané v:IEEE International Symposium on Circuits and Systems Ročník 6; s. 121 - 124 vol.6
Hlavný autor: Ushida, A.
Médium: Konferenčný príspevok..
Jazyk:English
Japanese
Vydavateľské údaje: IEEE 17.12.2002
Predmet:
Bifurcation
Difference equations
Electronic circuits
H infinity control
Hydrogen
Jacobian matrices
Newton method
Nonlinear equations
Stability
Turning
ISBN:078031915X, 9780780319158
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Popis
Shrnutí:In this paper, we discuss a computational method for obtaining the bifurcation points of nonlinear resistive circuits. There are many kinds of the bifurcation points such as limit point, branch point and isola. At these singular points, the Jacobian matrix becomes singular so that we cannot apply usual numerical techniques such as Newton method to get them. We present here a curve tracing algorithm which can find out the multiple solutions on a solution curve. We also propose a method of calculating the direction of branches at bifurcation points which helps us to trace the solution curves, automatically.< >
ISBN:078031915X
9780780319158
DOI:10.1109/ISCAS.1994.409541