Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9501897 | Journal of Differential Equations | 2005 | 29 Pages |
Abstract
We are interested in the dynamics arising in generic unfoldings of the nilpotent singularity of codimension three. Since Shil'nikov-type homoclinic orbits make up the simplest scenario where very complicated dynamics for three-dimensional vector fields can be shown, the aim of this paper is to prove analytically their existence in any of such unfoldings.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
S. Ibáñez, J.A. RodrıÌguez,