0000000000986480

AUTHOR

Dino Peran

showing 1 related works from this author

Linearization of complex hyperbolic Dulac germs

2021

We prove that a hyperbolic Dulac germ with complex coefficients in its expansion is linearizable on a standard quadratic domain and that the linearizing coordinate is again a complex Dulac germ. The proof uses results about normal forms of hyperbolic transseries from another work of the authors.

Pure mathematicsMathematics::Dynamical SystemsMathematics::Complex VariablesApplied Mathematics010102 general mathematicsMathematics::Classical Analysis and ODEsDynamical Systems (math.DS)01 natural sciencesDomain (mathematical analysis)Dulac germs and series ; Hyperbolic fixed point ; Linearization ; Koenigs' sequenceQuadratic equationLinearization0103 physical sciencesFOS: MathematicsGerm010307 mathematical physics0101 mathematicsMathematics - Dynamical SystemsAnalysisMathematics
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