THE NONLINEAR MATHIEU EQUATION
1994 ◽
Vol 04
(01)
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pp. 71-86
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Keyword(s):
The purpose of this paper is to classify the different sequences of bifurcation that can occur for small amplitude solutions to the nonlinear Mathieu equation near to the Mathieu regions of instability. We do this by using the Lindstedt-Poincare perturbation method to construct a vector field which interpolates the successive iterations of the Poincare map. These vector fields are then analysed to determine the sequence of bifurcations.
Keyword(s):
2008 ◽
Vol 15
(5)
◽
pp. 947-960
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Keyword(s):
2010 ◽
Vol 16
(7-8)
◽
pp. 1111-1140
◽
2014 ◽
Vol 24
(06)
◽
pp. 1450083
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Keyword(s):
2005 ◽
Vol E88-A
(4)
◽
pp. 810-817
◽
1991 ◽
Vol 7
(1)
◽
pp. 80-89
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Keyword(s):
2019 ◽
Vol 16
(11)
◽
pp. 1950180
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1992 ◽
Vol 02
(01)
◽
pp. 1-9
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