Normal forms of hyperbolic logarithmic transseries

DOI10.1016/j.jde.2022.12.002OpenAlexW4287117273MaRDI QIDQ2111979

Jean-Philippe Rolin, D. Peran, Tamara Servi, Maja Resman

Publication date: 17 January 2023

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

Full work available at URL: https://arxiv.org/abs/2105.10660

zbMATH Keywords

fixed point theorylinearizationlogarithmic transserieshyperbolic fixed pointformal normal formsKoenigs sequence

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Iteration theory, iterative and composite equations (39B12) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Other ``topological linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than (mathbb{R}), etc.) (46A19) Rate of growth of functions, orders of infinity, slowly varying functions (26A12) Ordered fields (12J15) Model theory (03Cxx)

Related Items (1)

Normalization of strongly hyperbolic logarithmic transseries and complex Dulac germs

Cites Work

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• Normal forms and embeddings for power-log transseries
• Toward a model theory for transseries
• Convergence of Koenigs' sequences.
• Complex dynamics
• The Fatou coordinate for parabolic Dulac germs
• Noncompact-type Krasnoselskii fixed-point theorems and their applications
• NIP FOR THE ASYMPTOTIC COUPLE OF THE FIELD OF LOGARITHMIC TRANSSERIES
• On Ordered Division Rings
• Logarithmic-exponential series

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