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 ...
Khairul Habib Alam +4 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 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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Escape criterion for generating fractals using Picard–Thakur hybrid iteration
Alexandria Engineering JournalFractals are important to explore the objects of our natural environment, such as mountains, trees, ferns, plants, lightning, rainbows, and snowflakes.
Asifa Tassaddiq +5 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 ...
Atar, Rami, Dupuis, Paul, Shwartz, Adam
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MOLECULAR-KINETIC SIMULATIONS OF ESCAPE FROM THE EX-PLANET AND EXOPLANETS: CRITERION FOR TRANSONIC FLOW [PDF]
The Astrophysical Journal, 2013 11 pages, 3 ...
Johnson, Robert E. +2 more
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A CRITERION FOR THE VALIDITY OF PARKER’S MODEL IN THERMAL ESCAPE PROBLEMS FOR PLANETARY ATMOSPHERES [PDF]
The Astrophysical Journal, 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.
Alexey N. Volkov
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A study of Mandelbrot and Julia Sets via Picard-Thakur iteration with s-convexity. [PDF]
PLoS ONENowadays, many researchers are employing various iterative techniques to analyse the dynamics of fractal patterns. In this paper, we explore the formation of Mandelbrot and Julia sets using the Picard-Thakur iteration process, extended with s-convexity ...
Bashir Nawaz +3 more
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Transactions of the Japanese Society for Artificial Intelligence, 2017 Hibiki Samonji, Shinya Watanabe
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