Results 41 to 50 of about 263,389 (315)
Preservation of External Rays in non-Autonomous Iteration
, 2012 We consider the dynamics arising from the iteration of an arbitrary sequence of polynomials with uniformly bounded degrees and coefficients and show that, as parameters vary within a single hyperbolic component in parameter space, certain properties of ...
Comerford, Mark, Woodard, Todd
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Julia sets are uniformly perfect [PDF]
Proceedings of the American Mathematical Society, 1992 We prove that Julia sets are uniformly perfect in the sense of Pommerenke (Arch. Math. 32 (1979), 192-199). This implies that their linear density of logarithmic capacity is strictly positive, thus implying that Julia sets are regular in the sense of Dirichlet. Using this we obtain a formula for the entropy of invariant harmonic measures on Julia sets.
Mañé, R., Da Rocha, L. F.
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Control and synchronization of Julia sets of the complex dissipative standard system
Nonlinear Analysis, 2016 The fractal behaviors of the complex dissipative standard system are discussed in this paper. By using the boundedness of the forward and backward orbits, Julia set of the system is introduced and visualization of Julia set is also given.
Weihua Sun, Yongping Zhang
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Fractal and Fractional, 2021 In this paper, a novel escape-time algorithm is proposed to calculate the connectivity’s degree of Julia sets generated from polynomial maps. The proposed algorithm contains both quantitative analysis and visual display to measure the connectivity of ...
Yang Zhao +3 more
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Fractal Generation in Modified Jungck–S Orbit
IEEE Access, 2019 The aim of this paper is to modify the Jungck-S iterative scheme by adding the idea of s-convexity. We define and analyze the modified Jungck-S orbit (MJSO) with s-convex combination and derive the escape criterion for MJSO.
Young Chel Kwun +4 more
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On computational complexity of Siegel Julia sets
, 2005 It has been previously shown by two of the authors that some polynomial Julia sets are algorithmically impossible to draw with arbitrary magnification.
Binder, I., Braverman, M., Yampolsky, M.
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Julia sets and differential equations [PDF]
Proceedings of the American Mathematical Society, 1993 Summary: A one-parameter family of Julia sets is shown to converge, in a probabilistic sense, to certain trajectories of a differential equation. The Julia sets arise from Euler's method for the differential equation. This provides information on the location of the Julia sets and the dynamics on them.
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Objectives To identify predictors of chronic ITP (cITP) and to develop a model based on several machine learning (ML) methods to estimate the individual risk of chronicity at the timepoint of diagnosis. Methods We analyzed a longitudinal cohort of 944 children enrolled in the Intercontinental Cooperative immune thrombocytopenia (ITP) Study ...
Severin Kasser +6 more
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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
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Pathogenic Germline PALB2 and RAD50 Variants in Patients With Relapsed Ewing Sarcoma
Pediatric Blood &Cancer, EarlyView.ABSTRACT Approximately 10% of patients with Ewing sarcoma (EwS) have pathogenic germline variants. Here, we report two cases: first, a novel germline pathogenic variant in partner and localizer of BRCA2 (PALB2) in a patient with a late EwS relapse. Its impact on homologous recombination is demonstrated, and breast cancer risk is discussed.
Molly Mack +12 more
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