Results 1 to 10 of about 180 (78)

Escape criterion for generating fractals using Picard–Thakur hybrid iteration

Alexandria Engineering Journal
Fractals are important to explore the objects of our natural environment, such as mountains, trees, ferns, plants, lightning, rainbows, and snowflakes.
Asifa Tassaddiq, Muhammad Tanveer, Muhammad Azhar, Farha Lakhani, Waqas Nazeer, Zeeshan Afzal   +5 more
doaj   +4 more sources

Escape Criterion Using Fixed Point Iteration with Applications in Fractal Generation [PDF]

International Journal of Mathematical, Engineering and Management Sciences
This 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 , Saurabh Sharma, Gaurav Semwal , Vijay Kumar   +3 more
doaj   +2 more sources

Some Escape Time Results for General Complex Polynomials and Biomorphs Generation by a New Iteration Process

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, Safeer Hussain Khan   +1 more
doaj   +3 more sources

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.
Alexey N. Volkov
exaly   +2 more sources

Molecular-Kinetic Simulations of Escape From the Ex-Planet and Exoplanets: Criterion for Transonic Flow [PDF]

Astrophysical Journal Letters, 2013
11 pages, 3 ...
Robert Johnson, Alexey N. Volkov, Justin Erwin   +2 more
exaly   +3 more sources

On escape criterion of an orbit with s−convexity and illustrations of the behavior shifts in Mandelbrot and Julia set fractals

PLoS ONE
Our 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, Yumnam Rohen, Naeem Saleem, Maggie Aphane, Asima Razzaque   +4 more
doaj   +4 more sources

Correction: On escape criterion of an orbit with s-convexity and illustrations of the behavior shifts in Mandelbrot and Julia set fractals.

PLoS ONE
[This corrects the article DOI: 10.1371/journal.pone.0312197.].
PLOS One Staff
doaj   +2 more sources

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, Anita Tomar, Darshana J. Prajapati, Mohammad Sajid   +3 more
doaj   +1 more source

Multicorn Sets of ${\overline{z}}^k+c^m$ via S-Iteration with h-Convexity

Fractal and Fractional, 2023
Fractals represent important features of our natural environment, and therefore, several scientific fields have recently begun using fractals that employ fixed-point theory. While many researchers are working on fractals (i.e., Mandelbrot and Julia sets),
Asifa Tassaddiq, Muhammad Tanveer, Khuram Israr, Muhammad Arshad, Khurrem Shehzad, Rekha Srivastava   +5 more
doaj   +1 more source

A particle swarm optimization algorithm based on an improved deb criterion for constrained optimization problems [PDF]

PeerJ Computer Science, 2022
To solve the nonlinear constrained optimization problem, a particle swarm optimization algorithm based on the improved Deb criterion (CPSO) is proposed. Based on the Deb criterion, the algorithm retains the information of ‘excellent’ infeasible solutions.
Ying Sun, Wanyuan Shi, Yuelin Gao
doaj   +2 more sources