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Disconnected Julia sets as buried Julia components
Mathematische ZeitschriftzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiao, Yingqing, Yang, Fei
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Chaos, Solitons & Fractals, 2005
The authors use a proper mathematical transformation on the complex iteration \(z_{n+1}= z^2_n+ c\) to realize the whole magnification and minification, extension along the \(X\)- or \(Y\)-axis and rotation of Julia sets, without changing the characters of the Julia set.
Sui, Shou Gang, Liu, Shu Tang
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The authors use a proper mathematical transformation on the complex iteration \(z_{n+1}= z^2_n+ c\) to realize the whole magnification and minification, extension along the \(X\)- or \(Y\)-axis and rotation of Julia sets, without changing the characters of the Julia set.
Sui, Shou Gang, Liu, Shu Tang
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2011
In this lecture, we shall discuss the geometric and topological features of the complex plane associated with dynamical systems whose evolution is governed by the iterative scheme \(z_n {\rm + 1}\,{\rm = }\,f{\rm (}zn{\rm ), }\,z_{0\,} {\rm = }\,p{\rm }\,{\rm where}\,{\rm }f{\rm (}z{\rm )}\) is a complex valued function and \(p\, \in \,C.\) Such ...
Ravi P. Agarwal +2 more
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In this lecture, we shall discuss the geometric and topological features of the complex plane associated with dynamical systems whose evolution is governed by the iterative scheme \(z_n {\rm + 1}\,{\rm = }\,f{\rm (}zn{\rm ), }\,z_{0\,} {\rm = }\,p{\rm }\,{\rm where}\,{\rm }f{\rm (}z{\rm )}\) is a complex valued function and \(p\, \in \,C.\) Such ...
Ravi P. Agarwal +2 more
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SARS-CoV-2 variants, spike mutations and immune escape
Nature Reviews Microbiology, 2021William T Harvey +2 more
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Julia Sets and the Mandelbrot Set
1986Quadratic Julia sets, and the Mandelbrot set, arise in a mathematical situation which is extremely simple, namely from sequences of complex numbers defined inductively by the relation $$z_n + = z_n^2 + c,$$ where c is a complex constant. I must say that, in 1980, whenever I told my friends that I was just starting with J.H.
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Deep neural networks for the evaluation and design of photonic devices
Nature Reviews Materials, 2020Jiaqi Jiang +2 more
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