Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6416993 | Journal of Differential Equations | 2016 | 37 Pages |
Abstract
For a given (real analytic) slow-fast system{xË=εf(x,y,ε)yË=g(x,y,ε), that admits a slow-fast saddle and that satisfies some mild assumptions, the Borel-summability properties of the saddle separatrix tangent in the direction of the critical curve are investigated: 1-summability is shown. It is also shown that slow-fast saddle connections of canard type have summability properties, in contrast to the typical lack of Borel-summability for canard solutions of general equations.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Karel Kenens,