Fractional iterates for \(n\)-dimensional maps

DOI10.1016/S0096-3003(97)10182-5zbMath1083.39502MaRDI QIDQ1294317

Tony Narayaninsamy

Publication date: 1999

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

\(n\)-dimensional mapsIterationConvex setFractional iteration

Mathematics Subject Classification ID

Topological dynamics (37B99) Iteration theory, iterative and composite equations (39B12) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Related Items (6)

Local \(C^1\) stability versus global \(C^1\) unstability for iterative roots ⋮ Open question on lower order iterative roots for PM functions ⋮ On fractional iterates of a Brouwer homeomorphism embeddable in a flow ⋮ How violently do smooth iterative roots oscillate? ⋮ Local \(C^r\) stability for iterative roots of orientation-preserving self-mappings on the interval ⋮ Extension of iterative roots

Cites Work

• Unnamed Item
• Multiconnected chaotic areas in second-order endomorphisms
• Some global bifurcations of two-dimensional endomorphisms by use of critical lines
• ON BEHAVIORS OF TWO-DIMENSIONAL ENDOMORPHISMS: ROLE OF THE CRITICAL CURVES
• ON A CLASS OF FRACTIONAL ITERATES

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