Doubly-Resonant Saddle-Nodes in $$\mathbb {C}^{3}$$C3 and the Fixed Singularity at Infinity in the Painlevé Equations: Formal Classification
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DOI: 10.1007/s12346-016-0214-z
Abstract: In this work we consider formal singular vector fields in $$\mathbb {C}^{3}$$C3 with an isolated and doubly-resonant singularity of saddle-node type at the origin. Such vector fields come from irregular two-dimensional systems with two opposite… read more here.
Keywords: painlev equations; singularity infinity; doubly resonant; singularity ... See more keywords