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Zbl 1185.37041
Muñoz Morales, Eduardo M.; San Martín Rebolledo, Bernardo; Vera Valenzuela, Jaime A.
Nonhyperbolic persistent attractors near the Morse-Smale boundary. (English)
[J] Ann. Inst. Henri Poincaré, Anal. Non Linéaire 20, No. 5, 867-888 (2003). ISSN 0294-1449

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

MSC 2000:: *37C20 Generic properties, structural stability
37C70 Attractors and repellers, topological structure
37D15 Morse-Smale systems
37G35 Attractors and their bifurcations

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