Actas de congresos
Fold, transcritical and pitchfork singularities for time-reversible systems
Fecha
2005-01-01Registro en:
Spt 2004: Symmetry and Perturbation Theory. Singapore: World Scientific Publ Co Pte Ltd, p. 67-74, 2005.
10.1142/9789812702142_0009
WOS:000234137600009
6050955861168161
6682867760717445
0000-0002-1430-5986
0000-0003-2037-8417
Autor
Universidade Estadual Paulista (Unesp)
Institución
Resumen
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.