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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Bifurcation of limit cycles from a centre in R-4 in resonance 1:N

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Buzzi, Claudio A. [1] ; Llibre, Jaume [2] ; Medrado, Joao C. [3] ; Torregrosa, Joan [2]
Total Authors: 4
[1] IBILCE, UNESP, Sao Jose Do Rio Preto, SP - Brazil
[2] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia - Spain
[3] Univ Fed Goias, Inst Matemat & Estat, Goiania, Go - Brazil
Total Affiliations: 3
Document type: Journal article
Source: DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL; v. 24, n. 1, p. 123-137, 2009.
Web of Science Citations: 12

For every positive integer N >= 2 we consider the linear differential centre (x) over dot = Ax in R(4) with eigenvalues +/- i and +/- Ni. We perturb this linear centre inside the class of all polynomial differential systems of the form linear plus a homogeneous nonlinearity of degree N, i.e. (x) over dot Ax + epsilon F(x) where every component of F(x) is a linear polynomial plus a homogeneous polynomial of degree N. Then if the displacement function of order epsilon of the perturbed system is not identically zero, we study the maximal number of limit cycles that can bifurcate from the periodic orbits of the linear differential centre. (AU)

FAPESP's process: 07/04307-2 - Planar phase portraits and generic bifurcations of reversible vector fields
Grantee:Claudio Aguinaldo Buzzi
Support Opportunities: Scholarships abroad - Research