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Limit cycles of perturbations of a class of quadratic Hamiltonian vector fields

2009
It is proved in the paper that in quadratic perturbations of generic Hamiltonian vector fields with two saddle points and one centre at most two limit cycles can appear and this bound is exact. A Hamiltonian field \(H\) is generic if no level set contains a straight line.
openaire +2 more sources

Periodic orbits for a class of reversible quadratic vector field on

Journal of Mathematical Analysis and Applications, 2007
João Carlos da Rocha Medrado, Jaume Llibre, Claudio Buzzi +2 more
exaly

Designs on vector spaces constructed using quadratic forms

Geometriae Dedicata, 1992
D K Ray-Chaudhuri
exaly

Homogeneous generalized functions in a vector space over a local non-Archimedean field which are related to a quadratic form

Functional Analysis and Its Applications, 1973
M I Graev
exaly

Planar quadratic vector fields with finite saddle connection on a straight line (convex case)

Qualitative Theory of Dynamical Systems, 2005
Paulo Cesar Carrião
exaly

Planar Quadratic Vector Fields with Finite Saddle Connection on a Straight Line (Non-convex Case)

Qualitative Theory of Dynamical Systems, 2008
Paulo Cesar Carrião
exaly

A parallel solver for large quadratic programs in training support vector machines

Parallel Computing, 2003
Luca Zanni, Gaetano Zanghirati
exaly