On escape criterion of an orbit with s−convexity and illustrations of the behavior shifts in Mandelbrot and Julia set fractals [PDF]
PLoS ONEOur study presents a novel orbit with s-convexity, for illustration of the behavior shift in the fractals. We provide a theorem to demonstrate the escape criterion for transcendental cosine functions of the type Tα,β(u) = cos(um)+αu + β, for [Formula ...
Naeem Saleem +2 more
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Correction: On escape criterion of an orbit with s-convexity and illustrations of the behavior shifts in Mandelbrot and Julia set fractals. [PDF]
PLoS ONE[This corrects the article DOI: 10.1371/journal.pone.0312197.].
PLOS One Staff
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Escape criterion for generating fractals using Picard–Thakur hybrid iteration
AEJ - Alexandria Engineering JournalFractals are important to explore the objects of our natural environment, such as mountains, trees, ferns, plants, lightning, rainbows, and snowflakes.
Waqas Nazeer +2 more
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Mathematics, 2020 Biomorphs are graphic objects with very interesting shapes resembling unicellular and microbial organisms such as bacteria. They have applications in different fields like medical science, art, painting, engineering and the textile industry.
Lateef Olakunle Jolaoso +2 more
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MOLECULAR-KINETIC SIMULATIONS OF ESCAPE FROM THE EX-PLANET AND EXOPLANETS: CRITERION FOR TRANSONIC FLOW [PDF]
Astrophysical Journal Letters, 2013 11 pages, 3 ...
, Justin Erwin
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Escape Criterion Using Fixed Point Iteration with Applications in Fractal Generation [PDF]
International Journal of Mathematical, Engineering and Management SciencesThis study employs the Picard-S3 iteration method, which proves to be particularly useful for visualizing and examining fractals, as well as investigating intricate dynamical systems. In the present paper, we focus on the complex polynomial function.
Sanjay Kumar Padaliya +3 more
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An Escape-Time Criterion for Queueing Networks: Asymptotic Risk-Sensitive Control via Differential Games [PDF]
Mathematics of Operations Research, 2003 We consider the problem of risk-sensitive control of a stochastic network. In controlling such a network, an escape-time criterion can be useful if one wishes to regulate the occurrence of large buffers and buffer overflow. In this paper a risk-sensitive escape time criterion is formulated, which in comparison to the ordinary escape-time criteria ...
Rami Atar, Adam Shwartz, Paul Dupuis
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A CRITERION FOR THE VALIDITY OF PARKER’S MODEL IN THERMAL ESCAPE PROBLEMS FOR PLANETARY ATMOSPHERES [PDF]
Astrophysical Journal Letters, 2015 Mass escape rate of mon- and diatomic gases from a planetary atmosphere is studied based on Parker's model for a broad range of surface conditions. The escape rate is found to follow two asymptotic regimes, namely, high- and low-density regimes, with a short intermediate regime between them.
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A Feature Selection Method Based on an Improved Sand Cat Swarm Optimization Algorithm with Multi-Strategy Fusion [PDF]
EntropyFeature selection (FS) plays a crucial role in high-dimensional data analysis by improving model performance and reducing computational complexity. However, existing metaheuristic-based FS methods often suffer from insufficient population diversity ...
Zhouheng Wu +5 more
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Fractals as Julia Sets of Complex Sine Function via Fixed Point Iterations
Fractal and Fractional, 2021 We explore some new variants of the Julia set by developing the escape criteria for a function sin(zn)+az+c, where a,c∈C, n≥2, and z is a complex variable, utilizing four distinct fixed point iterative methods.
Swati Antal +3 more
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