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 |