Results 61 to 70 of about 29,416 (289)
A novel investigation of quaternion Julia and Mandelbrot sets using the viscosity iterative approach
Results in Control and OptimizationThis paper presents a novel technique for visualizing quaternion Julia and Mandelbrot sets of a quaternion-valued polynomial mapping T(q)=qn+mq+c, where q is a quaternion variable, n∈N∖{1}, and m,c are quaternion parameters, by employing the viscosity ...
Nabaraj Adhikari, Wutiphol Sintunavarat
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From tumor‐centric to ecosystem‐based hypotheses in brain tumor research and care
Molecular Oncology, EarlyView.Primary brain tumors, whether in adults or children, present a major challenge because of their dramatic prognosis and the ongoing lack of efficient therapeutic approaches. In recent years, a shift has occurred from tumor‐centric concepts to a more holistic view of these tumors as dynamic ecosystems.
Julie Gavard +8 more
wiley +1 more source
Local connectivity of Julia sets [PDF]
, 2021 Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2021, Director: Núria Fagella Rabionet[en] Complex dynamics is a part of Mathematics that did not start to shine until the arrival of prominent figures like
Pastor Pérez, Lluís
core
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 sets ԐT ,
Averbeck, Nathan +1 more
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Mathematical and Computer Modelling of Dynamical SystemsFor the visualization of fractals, iterative schemes are fundamental and serve as important tools. In this paper, we introduce an escape criterion using the Hybrid Picard S-iteration to visualize fractals for the function [Formula: see text], where ...
Anita Tomar +3 more
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Pharmacological chromatin remodeling enhances response to estrogen therapy in ER+ breast cancer
Molecular Oncology, EarlyView.Estrogen therapy elicits clinical benefit in ~ 30% of patients with endocrine‐resistant estrogen receptor (ER)‐positive breast cancer. Based on findings that ER transcriptional activation underlies response to estrogen therapy, we tested the effects of epigenetic dysregulation via pharmacological inhibition of histone deacetylases (HDACi).
Anneka L. Johnson Thomas +16 more
wiley +1 more source
Constructing Non-Computable Julia Sets [PDF]
, 2008 While most polynomial Julia sets are computable, it has been recently shown [12] that there exist non-computable Julia sets. The proof was non-constructive, and indeed there were doubts as to whether specific examples of parameters with non-computable ...
Mark Braverman, Michael Yampolsky
core
A criterion to generate carpet Julia sets [PDF]
, 2017 It has been known that the Sierpiński carpets can appear as the Julia sets in the families of some rational maps. In this article we present a criterion that guarantees the existence of the carpet Julia sets in some rational maps having exactly one fixed
Fei Yang
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Adaptive Anti-Synchronization of Julia Sets in Generalized Alternated System
IEEE Access, 2020 In this article, the fractal behavior in generalized alternated system is discussed. Take the classical fractal set as an example, the anti-synchronization of the Julia set between two different generalized alternated systems is discussed using the ...
Pei Wang, Hui Zhang
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The capacity of parabolic julia sets
Mathematische Zeitschrift, 1992 We prove that the Hausdorff dimension \(h\) of the Julia set of a parabolic rational map is equal to its capacity (box dimension), and is also equal to the Hausdorff dimension of the unique \(h\)-conformal measure.
Denker, M., Urbanski, M.
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