Results 41 to 50 of about 1,964,264 (277)
Julia Sets in Parameter Spaces [PDF]
Communications in Mathematical Physics, 2001 The paper is devoted to study the one parameter family of cubic polynomials \[ g_b(z)= \lambda z+ bz^2+z^3, \quad b\in \mathbb{C},\tag{1} \] where \(\lambda= e^{2\pi i\theta}\) is a fixed complex number of modulus 1. The authors show that the bifurcation locus of (1) contains quasi-conformal copies of the quadratic Julia set \(J(\lambda z+z^2)\).
Buff, X., Henriksen, C.
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CHECKERBOARD JULIA SETS FOR RATIONAL MAPS [PDF]
International Journal of Bifurcation and Chaos, 2013 In this paper, we consider the family of rational maps [Formula: see text] where n ≥ 2, d ≥ 1, and λ ∈ ℂ. We consider the case where λ lies in the main cardioid of one of the n - 1 principal Mandelbrot sets in these families. We show that the Julia sets of these maps are always homeomorphic. However, two such maps F
Blanchard, Paul +5 more
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, 2013 The pictures show Julia sets consisting of points generated by iterating the complex number transformation z→{√z-c,-√z-c}, starting at z=0. The Mandelbrot set can be defined as the set of values of c for which such Julia sets are connectedEducação ...
Wolfram, Stephen
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Chaos in dendritic and circular Julia sets. [PDF]
, 2016 We demonstrate the existence of various forms of chaos (including transitive distributional chaos, w-chaos, topological chaos, and exact Devaney chaos) on two families of abstract Julia sets: the dendritic Julia sets DT and the "circular" Julia
Averbeck, Nathan, 1985-
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Hausdorff dimension and polynomial Julia sets [PDF]
, 2010 Se estudia la continuidad de la dimensión de Hausdorff d(c), de los conjuntos de Julia de una familia particular de polinomios unicríticos en los complejos, que dependen de una parametro c. Se muestra que la función d(c) no es continua en un parámetro en
Ardila Ardila, Jonny
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background The Standards for Psychosocial Care for Children with Cancer and Their Families guide the provision of comprehensive psychosocial care. Parallel to research characterizing implementation of the Standards from the perspective of providers, this study examines implementation of the Standards from the perspective of parents of youth ...
Emily M. Pariseau +8 more
wiley +1 more source
AxiomsThis article investigates and analyzes the diverse patterns of Julia sets generated by new classes of generalized exponential and sine rational functions.
Iqbal Ahmad, Ahmad Almutlg
doaj +1 more source
Fractals Parrondo’s Paradox in Alternated Superior Complex System
Fractal and Fractional, 2021 This work focuses on a kind of fractals Parrondo’s paradoxial phenomenon “deiconnected+diconnected=connected” in an alternated superior complex system zn+1=β(zn2+ci)+(1−β)zn,i=1,2.
Yi Zhang, Da Wang
doaj +1 more source
General Noise-Perturbed Superior Julia Sets [PDF]
, 2020 The aim of this paper is to offer an integrated approach to study the additive and multiplicative noises with respect to perturbations in superior Julia sets.
Mamta Rani, Rashi Agarwal
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objectives Acute kidney injury (AKI) is a common but often underrecognized complication in ischemic stroke patients undergoing mechanical thrombectomy, particularly among those with pre‐existing renal impairment. This study evaluated the incidence, risk factors, and clinical impact of AKI in this high‐risk population.
Michał Borończyk +10 more
wiley +1 more source