Results 21 to 30 of about 1,964,264 (277)
A Four Step Feedback Iteration and Its Applications in Fractals
Fractal and Fractional, 2022 Fractals play a vital role in modeling the natural environment. The present aim is to investigate the escape criterion to generate specific fractals such as Julia sets, Mandelbrot sets and Multi-corns via F-iteration using complex functions h(z)=zn+c, h ...
Asifa Tassaddiq +4 more
doaj +1 more source
Rational maps with real multipliers [PDF]
, 2009 Let f be a rational function such that the multipliers of all repelling periodic points are real. We prove that the Julia set of such a function belongs to a circle. Combining this with a result of Fatou we conclude that whenever J(f) belongs to a smooth
Eremenko, A +5 more
core +1 more source
On Writing for Young People Conference 2023, Keynote Speech
Leaf Journal, 2023 A full transcript of Prof Emerita Julia Green’s keynote speech at the Leaf Journal’s ‘On Writing Conference 2023’. Julia sets out the origins of the discipline of Creative Writing for Young People at Bath Spa University and beyond.
Julia Green
doaj +2 more sources
Fractal Control and Synchronization of the Discrete Fractional SIRS Model
Complexity, 2020 SIRS model is one of the most basic models in the dynamic warehouse model of infectious diseases, which describes the temporary immunity after cure. The discrete SIRS models with the Caputo deltas sense and the theories of fractional calculus and fractal
Miao Ouyang, Yongping Zhang, Jian Liu
doaj +1 more source
The Mandelbrot set is the shadow of a Julia set
Discrete and Continuous Dynamical Systems, 2020 Working within the polynomial quadratic family, we introduce a new point of view on bifurcations which naturally allows to see the seat of bifurcations as the projection of a Julia set of a complex dynamical system in dimension three. We expect our approach to be extendable to other holomorphic families of dynamical systems.
Berteloot, François, Dinh, Tien-Cuong
openaire +5 more sources
Fractal Generation via CR Iteration Scheme With S-Convexity
IEEE Access, 2019 The visual beauty, self-similarity, and complexity of Mandelbrot sets and Julia sets have made an attractive field of research. One can find many generalizations of these sets in the literature.
Young Chel Kwun +4 more
doaj +1 more source
Buried points in Julia sets [PDF]
Journal of Difference Equations and Applications, 2010 We give an introduction to buried points in Julia sets and a list of questions about buried points, written to encourage aficionados of topology and dynamics to work on these questions.
Curry, Clinton P., Mayer, John C.
openaire +2 more sources
Julia sets as buried Julia components
Transactions of the American Mathematical Society, 2020 Let f f be a rational map with degree
Wang, Youming, Yang, Fei
openaire +2 more sources
Limit Directions of Julia Sets of Entire Functions and Complex Differential Equations
Journal of Mathematics, 2023 The limiting directions of Julia sets of infinite order entire functions are studied by combining the theory of complex dynamic system and the theory of complex differential equations, in which the lower bound of the measure of limiting direction of ...
Zhigao Qin, Jianren Long, Xuxu Xiang
doaj +1 more source
Современные информационные технологии и IT-образование, 2023 The proposed article describes the methodology for performing a multi-stage mathematical-informational task "Newton's Method for Complex Polynomials", aimed at developing the creative qualities of students.
Valeriy S. Sekovanov +4 more
doaj +1 more source