Iterative roots with circuits for piecewise continuous and globally periodic maps

DOI10.1016/J.TOPOL.2012.03.012zbMath1247.39016OpenAlexW2059579046MaRDI QIDQ428807

Yong-guo Shi

Publication date: 25 June 2012

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2012.03.012

zbMATH Keywords

circuitMöbius transformationiterative rootglobally periodic map

Mathematics Subject Classification ID

Functional equations for real functions (39B22) 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 (3)

Existence of iterative roots for the sickle-like functions ⋮ On non-monotonicity height of piecewise monotone functions ⋮ Extension of iterative roots

Cites Work

• New periodic recurrences with applications
• Continuity of iteration and approximation of iterative roots
• One class of planar rational involutions
• On the nonexistence of iterative roots
• Embeddability of mean-type mappings in a continuous iteration semigroup
• Meromorphic iterative roots of linear fractional functions
• A characterization of \(k\)-cycles
• Dynamics in one dimension
• Möbius splines are closed under continuous iteration
• On the global periodicity of discrete dynamical systems and application to rational difference equations
• The Embedding of Homeomorphisms in Flows
• When Does f -1 = 1/f?
• On Continuous Iteration Semigroups on the Circle
• The Convergence of Sequences with Linear Fractional Recurrence Relation
• Recent results on functional equations in a single variable, perspectives and open problems
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