The Fatou coordinate for parabolic Dulac germs

DOI10.1016/j.jde.2018.09.008zbMath1410.37021arXiv1710.01268OpenAlexW2962685219WikidataQ129253642 ScholiaQ129253642MaRDI QIDQ1710541

Pavao Mardešić, Vesna Županović, Jean-Philippe Rolin, Maja Resman

Publication date: 22 January 2019

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.01268

zbMATH Keywords

asymptotic expansiontransseriesembedding in a flowDulac germFatou coordinate

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Power series (including lacunary series) in one complex variable (30B10) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Dynamics induced by flows and semiflows (37C10) Asymptotic expansions of solutions to ordinary differential equations (34E05) Dynamical systems involving smooth mappings and diffeomorphisms (37C05) Linear difference equations (39A06)

Related Items (7)

Fractal zeta functions of orbits of parabolic diffeomorphisms ⋮ Normalization of strongly hyperbolic logarithmic transseries and complex Dulac germs ⋮ Tubular neighborhoods of orbits of power-logarithmic germs ⋮ Analytic moduli for parabolic Dulac germs ⋮ Realization of analytic moduli for parabolic Dulac germs ⋮ Linearization of complex hyperbolic Dulac germs ⋮ Normal forms of hyperbolic logarithmic transseries

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