×

Diffeomorphisms with mildly wild frame of separatrices. (English) Zbl 1223.57029

Summary: We construct a structural stable diffeomorphism on the sphere \(\mathbb S^3\) whose nonwandering set consists of \(n+1\) sinks, \(n\) saddles of index 1, one source and the frame of one-dimensional separatrices is mildly wild.

MSC:

57R50 Differential topological aspects of diffeomorphisms
37C05 Dynamical systems involving smooth mappings and diffeomorphisms