6533b855fe1ef96bd12b1533

RESEARCH PRODUCT

Linearization of complex hyperbolic Dulac germs

Maja ResmanJean-philippe RolinDino PeranTamara Servi

subject

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

description

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.

yearjournalcountryeditionlanguage
2021-09-01
10.1016/j.jmaa.2021.125833https://www.bib.irb.hr/1167098