The generalized Mandelbrot-Julia sets from a class of complex exponential map

DOI10.1016/j.amc.2006.02.010zbMath1136.65118OpenAlexW2037373834WikidataQ122260388 ScholiaQ122260388MaRDI QIDQ856050

Qijiang Shi, Xing-Yuan Wang

Publication date: 7 December 2006

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.02.010

zbMATH Keywords

fractal growthexplosiongraphical examplesexperimental mathematicscomplex exponential mapdistribution of periodicity petalgeneralized Mandelbrot-Julia sets

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Fractals (28A80) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Numerical chaos (65P20)

Related Items (3)

Research on fractal structure of generalized M--J sets utilized Lyapunov exponents and periodic scanning techniques ⋮ Bivariate Newton-Raphson method and toroidal attraction basins ⋮ Recurrence analysis on Julia sets of semigroups of complex polynomials

Cites Work

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• Julia sets and bifurcation diagrams for exponential maps
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• Misiurewicz Points for Complex Exponentials
• Ordering of the Mandelbrot-like set of the exponential map
• Indecomposable continua in exponential dynamics

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