Dynamic Behaviors Analysis of a Chaotic Circuit Based on a Novel Fractional-Order Generalized Memristor by Ningning Yang, Shucan Cheng, Chaojun Wu, Rong Jia, Chongxin Liu

“…It is proved that the circuit based on the diode bridge cascaded with fractional-order inductor has volt-ampere characteristics of pinched hysteresis loop. Then the mathematical model of the fractional-order memristor chaotic circuit is obtained. …”
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A data-driven modeling method for secondary frequency regulation characteristic of thermal power units by LI Zhijun, SHA Qianli, YAN Xinrong, YAN Gangui, ZHU Lin, FANG Zheng, LI Junhui

“…Next， a second-order model represents the mathematical model of the units， with online adjustments to the model's damping coefficients to enhance adaptability to changes in regulation intensity. …”
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Model validation for a noninvasive arterial stenosis detection problem by H. Thomas Banks, Shuhua Hu, Zackary R. Kenz, Carola Kruse, Simon Shaw, John Whiteman, Mark P. Brewin, Stephen E. Greenwald, Malcolm J. Birch

“…In order to develop this methodology further, we use one-dimensional shear wave experimental data from novel acoustic phantoms to validate a corresponding viscoelastic mathematical model. We estimate model parameters which give a good fit (in a sense to be precisely defined) to the experimental data, and use asymptotic error theory to provide confidence intervals for parameter estimates. …”
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The assembly sequences modeling using graph incidence matrix by I. A. Volkov, D. D. Primak, V. B. Masyagin, R. L. Artykh

“…The analysis of the features of mathematical modeling of the construction and the assembly process is performed. …”
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Effect of Low Ambient Pressure on Spray Cone Angle of Pressure Swirl Atomizer by Zhengyan Guo, Yi Jin, Kai Zhang, Kanghong Yao, Yunbiao Wang, Di Wu, Xiaomin He, Mei Zheng

“…The spray angle is captured by high-speed photography; then, an image post program is used to process the spray angle magnitude. A mathematical model of a single droplet’s movement and trajectory based on force analysis is proposed to validate the spray angle variation. …”
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Studies on the Effects of Interphase Heat Exchange during Thermal Explosion in a Combustible Dusty Gas with General Arrhenius Reaction-Rate Laws by K. S. Adegbie, F. I. Alao

“…A mathematical model for thermal explosion in a combustible dusty gas containing fuel droplets with general Arrhenius reaction-rate laws, convective and radiative heat losses, and interphase heat exchange between gas and inert solid particles is investigated. …”
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A Mathematical Overview of the Monogamous Marriage in a Multiregion Framework: Modelling and Control by Mustapha Lhous, Omar Zakary, Mostafa Rachik

“…The main objective of this paper is to develop a new mathematical model to study, analyze, and control the family status in several regions and to discuss the impact of the connectivity of regions and the mobility of residents on the marital status of the family, by adopting a multiregion discrete-time model. …”
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Spatial Object Tracking Using an Enhanced Mean Shift Method Based on Perceptual Spatial-Space Generation Model by Pengcheng Han, Junping Du, Ming Fang

“…Therefore, it is necessary to propose a more intelligent mathematical model. In this paper, we present an intelligent modeling method using an enhanced mean shift method based on a perceptual spatial-space generation model. …”
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Investigation of Fracture Width Change under Closure Pressure in Unconventional Reservoir Based on the Hertz Contact Theory by Lifei Dong, Di Wang, Fengxia Li, Xinye Fu, Miao Wang

“…In this work, the mathematical model for the propping behavior of proppants in the fracture under closure pressure is established based on the Hertz contact theory. …”
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The dynamics of tumorgrowth and cells pattern morphology by Elena Izquierdo-Kulich, Margarita Amigó de Quesada, Carlos Manuel Pérez-Amor, Magda Lopes Texeira, José Manuel Nieto-Villar

“…The mathematical modeling of tumor growth is an approach to explain thecomplex nature of these systems. …”
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The Role of Optimal Intervention Strategies on Controlling Excessive Alcohol Drinking and Its Adverse Health Effects by Steady Mushayabasa

“…We propose and analyze a mathematical model for alcohol drinking problem. The transmission process is modeled as a social “contact” process between “heavy” alcohol drinkers and “light” alcohol drinkers within an unchanging shared drinking environment. …”
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Population Dynamic Study of Prey-Predator Interactions with Weak Allee Effect, Fear Effect, and Delay by Ye Xuan Li, Hua Liu, Yu Mei Wei, Ming Ma, Gang Ma, Jing Yan Ma

“…Then, to make the model more realistic, we introduce the gestation delay in the proposed mathematical model. Stability and Hopf bifurcation are also analyzed. …”
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Dynamic Surface and Active Disturbance Rejection Control for Path Following of an Underactuated UUV by Juan Li, Haitao Gao, Jiajia Zhou, Zheping Yan

“…This controller can effectively avoid the phenomenon of explosion of terms in the conventional backstepping method, reduce the dependence on the UUV controller mathematical model, and enhance the antijamming ability. …”
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The Experience of Using «Virtual Petrolab» – Virtual Petrophysical laboratory for Mobile Devices in the Educational Process by E. V. Shelyago, N. D. Shelyago

“…The program “Virtual PetroLab” simulates functions of various petrophysical equipment in the lab, possesses built-in methodological instructions on performing laboratory works. The mathematical model of the application allows the student to conduct measuring tasks, make, accumulate and correct his own errors. …”
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A Model of ESG-Transparency Index in Corporate Reporting by R. P. Bulyga, M. V. Melnik, I. V. Safonova, V. B. Gisin

“…Current "transparency indices" fall short in incorporating these factors, leading to methodological incomparability and gaps in assessing the "quality" and "reliability" of estimated values.To address this gap, the authors propose a novel mathematical model for the ESG transparency index in corporate reporting. …”
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A Combined MPC and PI Control Strategy for Bidirectional Interleaved Totem Pole PFC Converters in Electric Vehicle G2V and V2G Applications by Lassioui Abdellah, Kabba Abdelaziz, El Ancary Marouane, Hasni Anwar, El Asri Yassine, El Idrissi Zakariae, El Fadil Hassan

“…The converter’s mathematical model is used to implement the MPC, which ensures a unit power factor during both Grid-to-Vehicle (G2V) and Vehicle-to-Grid (V2G) operations. …”
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Global threshold dynamics in an HIV virus model with nonlinear infection rate and distributed invasion and production delays by Zhaohui Yuan, Xingfu Zou

“…We consider a mathematical model that describes the interactions ofthe HIV virus, CD4 cells and CTLs within host, which is amodification of some existing models by incorporating (i) twodistributed kernels reflecting the variance of time for virus toinvade into cells and the variance of time for invaded virions toreproduce within cells; (ii) a nonlinear incidence function $f$ forvirus infections, and (iii) a nonlinear removal rate function $h$for infected cells. …”
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An efficient technique to study of time fractional Whitham–Broer–Kaup equations by Nishant Bhatnagar, Kanak Modi, Lokesh Kumar Yadav, Ravi Shanker Dubey

“…In this study, we derive the approximate analytical solution for the fractional coupled Whitham–Broer–Kaup (WBK) equations, a significant mathematical model for representing wave propagation in shallow water. …”
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Hyperspherical Manifold for EEG Signals of Epileptic Seizures by Tahir Ahmad, Vinod Ramachandran

“…The mathematical modelling of EEG signals of epileptic seizures presents a challenge as seizure data is erratic, often with no visible trend. …”
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Numerical Analysis on the Influence of Thermal Effects on Oil Flow Characteristic in High-Pressure Air Injection (HPAI) Process by Hu Jia, Jin-Zhou Zhao, Wan-Fen Pu

“…To clarify the influences of thermal effects on oil production, in this paper, we derived a mathematical model for calculating oil flow rate, which is based on the heat conduction property in porous media from the combustion tube experiment. …”
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