Non Hyperbolic Persistent Attractors Near the Morse-Smale Boundary

Jaime Vera | Muñoz, Eduardo | San Martín, Bernardo

Keywords: Attractors | non hyperbolic | singular cycles

In this paper we present a submanifold $\QTR{cal}{N}$ of codimension two contained in the Morse-Smale regular boundary in $\QTR{cal}{X}^{r}(M)$, the space of $\QTR{cal}{C}^{r}$ vector fields on a 3-dimensional manifold $M,$ which exhibits singular cycles , such that for generic 2-parameter families going through, it has nonhyperbolic nontrivial attractors for a set of parameters with positive Lebesgue measure.

Anexos:

• articulomsv.ps