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Inverse Jacobian multipliers and Hopf bifurcation on center manifolds.
- Source :
-
Journal of Differential Equations . May2014, Vol. 256 Issue 9, p3278-3299. 22p. - Publication Year :
- 2014
-
Abstract
- Abstract: In this paper we consider a class of higher dimensional differential systems in 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 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. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 256
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 94756203
- Full Text :
- https://doi.org/10.1016/j.jde.2014.02.002