Stability of singular horseshoes. (English) Zbl 0611.58033

Labarca, R.; Pacifico, M. J.

Topology 25, 337-352 (1986).

The authors construct an example of a structurally stable vector field whose nonwandering set is not hyperbolic. This example shows how different the situations are on compact manifolds with and without boundary.

Reviewer: V.Sobolev

MSC:

37D15	Morse-Smale systems
57R25	Vector fields, frame fields in differential topology

Keywords:

structural stability; Morse-Smale vector fields