On a limit formula for embeddings of diffeomorphisms in regular iteration semigroups

DOI10.1080/10236198.2012.703661zbMath1272.39009OpenAlexW2138202802MaRDI QIDQ5301068

Marek Cezary Zdun

Publication date: 2 July 2013

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2012.703661

zbMATH Keywords

eigenvaluefunctional equationembeddabilitylinear mappingsiterative rootiteration semigroupbilinear mappingsexponential and logarithm of matrix

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Iteration theory, iterative and composite equations (39B12) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (5)

The structure of regular disjoint groups of real homeomorphisms ⋮ On a limit formula for regular iterations ⋮ The embedding problem in iteration theory ⋮ Recent results on iteration theory: iteration groups and semigroups in the real case ⋮ Embeddings of diffeomorphisms of the plane in regular iteration semigroups

Cites Work

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• Continuity of iteration and approximation of iterative roots
• A limit formula for regular iteration groups
• Regular fractional iterations
• Computing iterative roots of polygonal functions
• Regular iteration of real and complex functions
• Das Typenproblem bei formal-biholomorphen Abbildungen mit anziehendem Fixpunkt
• Local Contractions and a Theorem of Poincare
• Recent results on functional equations in a single variable, perspectives and open problems

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