Analytic invariant curves for a planar mapping

DOI10.1007/S10114-007-6221-XzbMath1151.39018OpenAlexW2064278306MaRDI QIDQ943504

Li Yin, Hanze Liu, Wen Rong Li

Publication date: 9 September 2008

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-007-6221-x

zbMATH Keywords

functional equationanalytic solutionmajorant seriesinvariant curvepower series solutionplanar mapping

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Iteration theory, iterative and composite equations (39B12) Functional equations for complex functions (39B32)

Related Items (1)

Analytic solutions of an iterative differential equation under Brjuno condition

Cites Work

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• Analytic solutions of general nonlinear functional equations near resonance
• Analytic solutions of a nonlinear iterative equation near neutral fixed points and poles
• Existence and uniqueness of solutions in \(H_{1}(\Delta)\) of a general class of non-linear functional equations
• Analytic solutions of an iterative functional equation
• Analytic solutions of a second-order nonautonomous iterative functional differential equation
• Analytic invariants of mappings of two variables
• Iteration of analytic functions
• Invariant curves for planar mappings
• Analytic solutions of a functional equation for invariant curves

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