Small divisors problem in dynamical systems and analytic invariant curves for an iterative equation related to a rational difference equation

DOI10.1007/s10986-015-9299-3zbMath1336.39015OpenAlexW2254032917MaRDI QIDQ904338

Hou Yu Zhao

Publication date: 13 January 2016

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-015-9299-3

zbMATH Keywords

analytic solutioninvariant curvesiterative equationrational difference equationsmall divisor

Mathematics Subject Classification ID

Iteration theory, iterative and composite equations (39B12) Multiplicative and other generalized difference equations (39A20)

Cites Work

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• Small divisor problem in dynamical systems and analytic solutions of a \(q\)-difference equation with a singularity at the origin
• Analytic invariant curves of a nonlinear second order difference equation
• Small divisors problem in dynamical systems and analytic solutions of the Shabat equation
• The Brjuno functions and their regularity properties
• A note: all homogeneous second order difference equations of degree one have semiconjugate factorizations
• Global behaviours of rational difference equations of orders two and three with quadratic terms
• Invariant curves for planar mappings
• Quadratic invariant curves for a planar mapping
• On second-order rational difference equations, part 1
• When does local asymptotic stability imply global attractivity in rational equations?
• Analytic solutions of a functional equation for invariant curves

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