Notes on Modified Planar Kelvin–Stuart Models: Simulations, Applications, Probabilistic Control on the Perturbations DOI Creative Commons
Nikolay Kyurkchiev, Tsvetelin Zaevski, Антон Илиев

et al.

Axioms, Journal Year: 2024, Volume and Issue: 13(10), P. 720 - 720

Published: Oct. 17, 2024

In this paper, we propose a new modified planar Kelvin–Stuart model. We demonstrate some modules for investigating the dynamics of proposed This will be included as an integral part planned, much more general Web-based application scientific computing. Investigations in light Melnikov’s approach are considered. Some simulations and applications also presented. The modifications models contain many free parameters (the coefficients gi,i=1,2,…,N), which makes them attractive use engineering such antenna feeder technique (a possible generating simulating factors) theory approximations good approximation given electrical stage). probabilistic control perturbations is discussed.

Language: Английский

Investigations of Modified Classical Dynamical Models: Melnikov’s Approach, Simulations and Applications, and Probabilistic Control of Perturbations DOI Creative Commons
Nikolay Kyurkchiev, Tsvetelin Zaevski, Антон Илиев

et al.

Mathematics, Journal Year: 2025, Volume and Issue: 13(2), P. 231 - 231

Published: Jan. 11, 2025

We suggest a few kinds of extended classical oscillators in this study. present specific modules for examining these oscillators’ behavior. This will be an essential component broader web-based scientific computing platform that is the works. The modeling and synthesis radiating antenna designs also taken into consideration as potential use case Melnikov functions. Additionally, we discuss strategies achieving probabilistic control over system perturbations.

Language: Английский

Citations

1
The Stability and Global Attractivity of Fractional Differential Equations with the Ψ-Hilfer Derivative in the Context of an Economic Recession DOI Creative Commons
Mdi Begum Jeelani,

Farva Hafeez,

Nouf Abdulrahman Alqahtani

et al.

Fractal and Fractional, Journal Year: 2025, Volume and Issue: 9(2), P. 113 - 113

Published: Feb. 13, 2025

Fractional differential equations (FDEs) are employed to describe the physical universe. This article investigates attractivity of solutions for FDEs and Ulam–Hyers–Rassias stability, involving Ψ-Hilfer fractional derivative. Important results presented using Krasnoselskii’s fixed point theorem, which provides a framework analyzing stability solutions. Novel on attractiveness nonlinear in Banach spaces derived, existence solutions, properties, behavior system equilibria examined. The application derivatives modeling financial crises is explored, crisis model proposed, providing more general global results. Furthermore, we also perform numerical analysis validate our theoretical findings.

Language: Английский

Citations

0
A Note on the Dynamics of Modified rf-SQUIDs: Simulations and Possible Control over Oscillations DOI Creative Commons
Nikolay Kyurkchiev, Tsvetelin Zaevski, Антон Илиев

et al.

Mathematics, Journal Year: 2025, Volume and Issue: 13(5), P. 722 - 722

Published: Feb. 24, 2025

The so-call SQUIDs (abbreviated from superconducting quantum interference device) are very sensitive apparatuses especially built for metering low magnetic fields. These systems have applications in various practical fields—biology, geology, medicine, different engineering areas, etc. Their features mainly based on superconductors and the Josephson effect. They can be differentiated into two main groups—direct current (DC) radio frequency (RF) SQUIDs. Both of them were constructed 1960s at Ford Research Labs. difference between is that second ones use only one tunnel junction. This reduces their sensitivity, but makes significantly cheaper. We investigate namely rf-SQUIDs present work. A number authors devote research to driven by an oscillating external flux. aim enlarge theoretical base these adding new factors dynamics. Several particular cases explored simulated. demonstrate also some specialized modules investigating proposed model. One application possible control over oscillations discussed. It Fourier transform and, as a consequence, characteristic function probability distributions.

Language: Английский

Citations

0
Notes on Modified Planar Kelvin–Stuart Models: Simulations, Applications, Probabilistic Control on the Perturbations DOI Creative Commons
Nikolay Kyurkchiev, Tsvetelin Zaevski, Антон Илиев

et al.

Axioms, Journal Year: 2024, Volume and Issue: 13(10), P. 720 - 720

Published: Oct. 17, 2024

In this paper, we propose a new modified planar Kelvin–Stuart model. We demonstrate some modules for investigating the dynamics of proposed This will be included as an integral part planned, much more general Web-based application scientific computing. Investigations in light Melnikov’s approach are considered. Some simulations and applications also presented. The modifications models contain many free parameters (the coefficients gi,i=1,2,…,N), which makes them attractive use engineering such antenna feeder technique (a possible generating simulating factors) theory approximations good approximation given electrical stage). probabilistic control perturbations is discussed.

Language: Английский

Citations

1