Fold, transcritical and pitchfork singularities for time-reversible systems
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Data
2005-01-01
Autores
Buzzi, C. A.
Silva, P. R.
Teixeira, M. A.
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World Scientific Publ Co Pte Ltd
Resumo
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 periodic orbits and hetero-clinic cycles converging to singular orbits with respect to the Hausdorf distance. In addition, generic normal forms of such singularities are presented.
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Spt 2004: Symmetry and Perturbation Theory. Singapore: World Scientific Publ Co Pte Ltd, p. 67-74, 2005.