Julia sets of Newton's method for a class of complex-exponential function \(F(z)=P(z)e^{Q(z)}\)

DOI10.1007/s11071-010-9777-4zbMath1215.37034OpenAlexW2085280826WikidataQ120944732 ScholiaQ120944732MaRDI QIDQ547188

Yi-Ke Li, Feng-Dan Ge, Jun-Mei Song, Xing-Yuan Wang, Yuan-Yuan Sun

Publication date: 30 June 2011

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-010-9777-4

zbMATH Keywords

Newton's methodfixed pointJulia setattracting regioncomplex-exponential function

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (7)

PARAMETER ESTIMATION OF THE CLASSICAL FRACTAL MAP BASED ON A GIVEN JULIA SET’S SHAPE ⋮ Influence of the multiplicity of the roots on the basins of attraction of Newton's method ⋮ A SHORT NOTE ON THE BOUNDEDNESS ANALYSIS AND CONTROL OF THE SPATIAL FRACTAL SET FROM A KIND OF CHAIN COUPLING LOGISTIC TYPE MAP ⋮ Graphical representations for the homogeneous bivariate Newton's method ⋮ Bivariate Newton-Raphson method and toroidal attraction basins ⋮ Recurrence analysis on Julia sets of semigroups of complex polynomials ⋮ Disconnected Julia set of Halley's method for exponential maps

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