Extension of iterative roots

DOI10.1007/s00010-013-0223-9zbMath1329.39021OpenAlexW2042818300MaRDI QIDQ2350252

Li Chen, Yong-guo Shi

Publication date: 19 June 2015

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-013-0223-9

zbMATH Keywords

Markov mapiterative rootextension method

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Iteration theory, iterative and composite equations (39B12)

Related Items (1)

Iterative roots of PM functions extended from the characteristic interval

Cites Work

• Iterative roots with circuits for piecewise continuous and globally periodic maps
• Continuity of iteration and approximation of iterative roots
• Non-monotonic iterative roots extended from characteristic intervals
• One class of planar rational involutions
• Local \(C^1\) stability versus global \(C^1\) unstability for iterative roots
• Iterative roots of piecewise monotonic functions of nonmonotonicity height not less than 2
• On the nonexistence of iterative roots
• Embeddability of mean-type mappings in a continuous iteration semigroup
• Finding iterative roots with a spiking neural network
• Fractional iterates for \(n\)-dimensional maps
• On functions with weak iterative roots
• Möbius splines are closed under continuous iteration
• A generic property of globally smooth iterative roots
• Computing iterative roots of polygonal functions
• Also set-valued functions do not like iterative roots
• Zur Iteration reeller Funktionen
• Fractional iteration of series and transseries
• The Embedding of Homeomorphisms in Flows
• Some Dual Statements Concerning Wiener Measure and Baire Category
• The Set of all Iterates is Nowhere Dense in C([ 0, 1 , [ 0, 1 ])]
• PM functions, their characteristic intervals and iterative roots
• On fractional iterates of a homeomorphism of the plane
• Fractional iteration of differentiable functions
• Iterates of Fractional Order
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Extension of iterative roots