Published articles

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18 p, 730.8 KB Bifurcation of Limit cycles from a 4-dimensional center in R^m in resonance 1:N / Barreira, Luis (Universidade Técnica de Lisboa. Departamento de Matemática) ; Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Universidade Técnica de Lisboa. Departamento de Matemática)
For every positive integer N ≥ 2 we consider the linear differential center ˙x = Ax in Rm with eigenvalues ±i, ±N i and 0 with multiplicity m − 4. We perturb this linear center inside the class of all polynomial differential systems of the form linear plus a homogeneous nonlinearity of degree N, i. [...]
2012 - 10.1016/j.jmaa.2011.12.018
Journal of mathematical analysis and applications, Vol. 389 (2012) , p. 754-768  

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