Article ID Journal Published Year Pages File Type
6416993 Journal of Differential Equations 2016 37 Pages PDF
Abstract

For a given (real analytic) slow-fast system{x˙=εf(x,y,ε)y˙=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
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