Analytic invariant curves for an iterative equation related to dissipative standard map

DOI10.1002/mma.4260zbMath1368.39005OpenAlexW2560441634MaRDI QIDQ4977837

Hou Yu Zhao, Liu Tian

Publication date: 17 August 2017

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.4260

zbMATH Keywords

analytic solutioninvariant curvesBrjuno conditionsmall divisordissipative standard map

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Additive difference equations (39A10) Iteration theory, iterative and composite equations (39B12)

Related Items (1)

Invariant curves of some discrete dynamical systems

Cites Work

• Periodic and quasi-periodic attractors of weakly-dissipative nearly-integrable systems
• Analytic invariant curves of a nonlinear second order difference equation
• Quasi-periodic attractors in celestial mechanics
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• ANALYTIC SOLUTIONS OF A POLYNOMIAL-LIKE ITERATIVE FUNCTIONAL EQUATION
• Linearization of analytic and non-analytic germs of diffeomorphisms of $({\mathbb C},0)$
• The critical function for the semistandard map
• Breakdown of invariant attractors for the dissipative standard map
• Analytic solutions of a functional equation for invariant curves

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