Chaotic Root-finding for a Small Class of Polynomials

DOI10.1080/10236190412331285351zbMath1066.39018arXivnlin/0407042OpenAlexW2950460233WikidataQ56050795 ScholiaQ56050795MaRDI QIDQ4653096

Max A. Little, Daniel Heesch

Publication date: 28 February 2005

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

Full work available at URL: https://arxiv.org/abs/nlin/0407042

zbMATH Keywords

difference equationssymbolic dynamicsperiodic pointsdiscrete dynamical systembinary digit expansionschaotic complex mapsnumerical root-finding

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) Discrete version of topics in analysis (39A12) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Symbolic dynamics (37B10) Dynamical systems involving maps of the interval (37E05)

Related Items (1)

On a representation of the Verhulst logistic map

Cites Work

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• An Analytical Description of Some Simple Cases of Chaotic Behaviour

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