Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4669445 | Bulletin des Sciences Mathématiques | 2009 | 47 Pages |
Abstract
We compute the first three Melnikov functions of quadratic vector fields obtained as perturbations of an integrable system which displays an elliptic sector. We uncover the integrable cases and analyse the algebraic nature of higher order Melnikov functions.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)