On the Computation of Degenerate Hopf Bifurcations forn-Dimensional Multiparameter Vector Fields
2016 ◽
Vol 2016
◽
pp. 1-12
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Keyword(s):
The restriction of ann-dimensional nonlinear parametric system on the center manifold is treated via a new proper symbolic form and analytical expressions of the involved quantities are obtained as functions of the parameters by lengthy algebraic manipulations combined with computer assisted calculations. Normal forms regarding degenerate Hopf bifurcations up to codimension 3, as well as the corresponding Lyapunov coefficients and bifurcation portraits, can be easily computed for any system under consideration.
2011 ◽
Vol 21
(09)
◽
pp. 2489-2503
2015 ◽
Vol 25
(10)
◽
pp. 1550129
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1981 ◽
Vol 2
(3)
◽
pp. 449-481
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2018 ◽
Vol 28
(11)
◽
pp. 1850139
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Keyword(s):
2015 ◽
Vol 25
(10)
◽
pp. 1530026
◽
2009 ◽
Vol 19
(11)
◽
pp. 3733-3751
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