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• W2064367078 abstract "In this paper we consider a class of higher dimensional differential systems in $mathbb R^n$ which have a two dimensional center manifold at the origin with a pair of pure imaginary eigenvalues. First we characterize the existence of either analytic or $C^infty$ inverse Jacobian multipliers of the systems around the origin, which is either a center or a focus on the center manifold. Later we study the cyclicity of the system at the origin through Hopf bifurcation by using the vanishing multiplicity of the inverse Jacobian multiplier." @default.
• W2064367078 created "2016-06-24" @default.
• W2064367078 creator A5058244239 @default.
• W2064367078 date "2014-05-01" @default.
• W2064367078 modified "2023-10-17" @default.
• W2064367078 title "Inverse Jacobian multipliers and Hopf bifurcation on center manifolds" @default.
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• W2064367078 doi "https://doi.org/10.1016/j.jde.2014.02.002" @default.
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