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Doubly-resonant saddle-nodes in (C^3,0) and the fixed singularity at infinity in Painlev{é} equations: analytic classification
Amaury Bittmann
In this work, we consider germs of analytic singular vector elds in (C^3,0) with an isolated and doubly-resonant singularity of saddle-node type at the origin. Such vector elds com…
Doubly-resonant saddle-nodes in and the fixed singularity at infinity in the Painlevé equations (part III): local analytic classification
Amaury Bittmann
In this work, following [Bit15] and [Bit16a], we consider analytic singular vector fields in with an isolated and doubly-resonant singularity of saddle-node ty…
Doubly-resonant saddle-nodes in and the fixed singularity at infinity in the Painlevé equations (part II): sectorial normalization
Amaury Bittmann
In this work, following [Bit15], we consider analytic singular vector fields in with an isolated and doubly-resonant singularity of saddle-node type at the ori…
Doubly-resonant saddle-nodes in and the fixed singularity at infinity in the Painlev{é} equations: formal classification
Amaury Bittmann
In this work we consider formal singular vector fields in with an isolated and doubly-resonant singularity of saddle-node typeat the origin. Such vector fields come from ir…