Nondegenerate homoclinic tangency on a surface and hyperbolic sets were studied. Results were obtained which described local phenomena near the orbit of the tangency. It was shown that a nondegenerate homoclinic tangency on a surface was accumulated by a sequence of uniformly hyperbolic sets.
|Number of pages||13|
|Journal||Nonlinear Analysis, Theory, Methods and Applications|
|State||Published - 1 Feb 2003|
- Cone field
- Nondegenerate homoclinic tangency
- The Hénon map
- Uniform and nonuniformly hyperbolic sets