Results 271 to 280 of about 64,522 (306)
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Korean Journal of Computational & Applied Mathematics, 1997
This paper gives a description of the geometry of the Julia set \(J_a\) of a cubic polynomial \(C(z)= -z^3+ az\) \((a\in\mathbb{C})\) and the smallest ellipse which surrounds \(J_a\).
Lee, Hung Hwan, Baek, Hun Ki
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This paper gives a description of the geometry of the Julia set \(J_a\) of a cubic polynomial \(C(z)= -z^3+ az\) \((a\in\mathbb{C})\) and the smallest ellipse which surrounds \(J_a\).
Lee, Hung Hwan, Baek, Hun Ki
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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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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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The software design of Gridap: A Finite Element package based on the Julia JIT compiler
Computer Physics Communications, 2022Francesc Verdugo, Santiago Badia
exaly
Circuitscape in Julia: Empowering Dynamic Approaches to Connectivity Assessment
Land, 2021Kimberly R Hall +2 more
exaly
Chaotic Attractors Generated by a Memristor-Based Chaotic System and Julia Fractal
Chaos, Solitons and Fractals, 2021Lidan Wang, Shu-Kai Duan
exaly