SINGULAR POINTS OF PLANE CURVES GENERATED BY PERIOD DOUBLING BIFURCATION POINTS AND A METHOD FOR COMPUTING THEM
1991 ◽
Vol 01
(04)
◽
pp. 795-802
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Keyword(s):
This paper is concerned with nodal points, isolated points and cusp points (PD) appearing on a locus of period-doubling bifurcation points and the accurate location of them. Such points can be observed in periodic differential systems (e.g., Duffing's equation) in nonlinear oscillations. In a suitable two-dimensional parameter-plane, such points can be formulated as double (singular) points of plane curves defined by a bifurcation equation, and a method for computing them is proposed.
2002 ◽
Vol 12
(06)
◽
pp. 1363-1370
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1987 ◽
Vol 70
(1)
◽
pp. 203-217
◽
1999 ◽
Vol 19
(4)
◽
pp. 525-547
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Keyword(s):