Transactions of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2424-0982
ISSN-L : 0917-2246
The Tracing of The Equilibrium Curve of A Non-linear System by Using The Coordinate Transformation
Yoshihiko Kataoka
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1991 Volume 1 Issue 4 Pages 361-373

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Abstract
This paper deals with the tracing of the equilibium curve of a non-linear system by using the coodinate transformation. The apparent regularity of a model of a non-linear system near and at the saddle-node bifurcation point is improved locally by coordinate transformation. The global tracing including saddle-node bifurcation point is realized by revising the coodinate transformation on the way of tracing the curve. The efficiency of the method is shown in practical large scale system.
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© 1991 The Japan Society for Industrial and Applied Mathematics
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