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A connection between fractional iteration and graph theory

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Publication:1569130
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DOI10.1016/S0096-3003(98)10138-8zbMath1020.37004MaRDI QIDQ1569130

Tony Narayaninsamy

Publication date: 25 June 2000

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


zbMATH Keywords

graph theory\(n\)-dimensional mapsfractional iteration


Mathematics Subject Classification ID

Topological dynamics (37B99) Applications of dynamical systems (37N99) Iteration theory, iterative and composite equations (39B12)


Related Items (4)

Iterative square roots of functions ⋮ Local \(C^1\) stability versus global \(C^1\) unstability for iterative roots ⋮ On the node fractional iterates ⋮ Local \(C^r\) stability for iterative roots of orientation-preserving self-mappings on the interval




Cites Work

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  • Iteration theory and its functional equations. Proceedings of the International Symposium held at Schloss Hofen (Lochau), Austria, September 28 - October 1, 1984
  • 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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