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Fold, transcritical and pitchfork singularities for time-reversible systems
(World Scientific Publ Co Pte Ltd, 2005-01-01)
This paper deals with a class of singularly perturbed reversible planar vector fields around the origin where the normal hyperbolicity assumption is not assumed. We exhibit conditions for the existence of infinitely many ...
Resonances and subharmonic bifurcations of large amplitude periodic orbits of planar polynomial vector fields
(World Scientific Publ Co Pte Ltd, 2005-01-01)
In this work are studied periodic perturbations, depending on two parameters, of planar polynomial vector fields having an annulus of large amplitude periodic orbits, which accumulate on a symmetric infinite heteroclinic ...
Resonances and subharmonic bifurcations of large amplitude periodic orbits of planar polynomial vector fields
(World Scientific Publ Co Pte Ltd, 2005-01-01)
In this work are studied periodic perturbations, depending on two parameters, of planar polynomial vector fields having an annulus of large amplitude periodic orbits, which accumulate on a symmetric infinite heteroclinic ...
Resonances and subharmonic bifurcations of large amplitude periodic orbits of planar polynomial vector fields
(World Scientific Publ Co Pte Ltd, 2014)
Singular perturbation problems for time-reversible systems
(Amer Mathematical Soc, 2005-01-01)
In this paper singularly perturbed reversible vector fields defined in R-n without normal hyperbolicity conditions are discussed. The main results give conditions for the existence of infinitely many periodic orbits and ...
Fold, transcritical and pitchfork singularities for time-reversible systems
(World Scientific Publ Co Pte Ltd, 2005-01-01)
This paper deals with a class of singularly perturbed reversible planar vector fields around the origin where the normal hyperbolicity assumption is not assumed. We exhibit conditions for the existence of infinitely many ...
Singular perturbation problems for time-reversible systems
(Amer Mathematical SocProvidenceEUA, 2005)
Singular perturbation problems for time-reversible systems
(Amer Mathematical Soc, 2014)