An Empirical Study on Listed Company’s Value of Cash Holdings: An Information Asymmetry Perspective by Chuangxia Huang, Xin Ma, Qiujun Lan

“…We find that a company’s value of cash holdings decreases increasingly with its level of information asymmetry, and the relationship between information asymmetry and the value of cash holdings is nonlinear.…”
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Abnormal Event Detection via Multikernel Learning for Distributed Camera Networks by Tian Wang, Jie Chen, Paul Honeine, Hichem Snoussi

“…The visual event is summarized and represented by the histogram of the optical flow orientation descriptor, and then a multikernel strategy that takes the multiview scenes into account is proposed to improve the detection accuracy. A nonlinear one-class SVM algorithm with the constructed kernel is then trained to detect abnormal frames of video sequences. …”
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Moving mesh simulations of pitting corrosion by Abu Naser Sarker, Ronald D. Haynes, Michael D. Robertson

“…The adaptive mesh is generated automatically by solving a mesh PDE coupled to the nonlinear potential problem. The moving mesh approach is shown to enable initial mesh generation, provide automatic mesh adjustment (or recovery) and is able to smoothly tackle changing pit geometry. …”
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Stability, Boundedness, and Existence of Periodic Solutions to Certain Third-Order Delay Differential Equations with Multiple Deviating Arguments by A. T. Ademola, B. S. Ogundare, M. O. Ogundiran, O. A. Adesina

“…The behaviour of solutions for certain third-order nonlinear differential equations with multiple deviating arguments is considered. …”
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STUDY ON THE STATIC TORSION STIFFNESS OF RUBBER SPRING BY EXPERIMENT AND SIMULATION (MT) by DUAN Yu, TAO YouRui, PEI JiaXing, ZHANG Yu

“…The results show that the height, diameter, pre-compression and hardness of rubber rod are nonlinear with the static torsion stiffness of rubber spring, and the pre-compression of rubber rod has the most significant effect on the static torsion stiffness of rubber spring.…”
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Fracture precursor phenomena in marble specimens under uniaxial compression by means of Acoustic Emission data by Dimos Triantis, Stavros K. Kourkoulis

“…During the stage of increasing load, intense acoustic activity is detected as the corresponding stress reaches the transitional phase from the linear to the nonlinear mechanical response of the material. When the stress is stabilized at levels exceeding 95% of the material�s compressive strength, the acoustic activity is drastically reduced. …”
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The Application of the Homotopy Perturbation Method and the Homotopy Analysis Method to the Generalized Zakharov Equations by Hassan A. Zedan, Eman El Adrous

“…HAM is a strong and easy-to-use analytic tool for nonlinear problems. Computation of the absolute errors between the exact solutions of the GZE equations and the approximate solutions, comparison of the HPM results with those of Adomian’s decomposition method and the HAM results, and computation the absolute errors between the exact solutions of the GZE equations with the HPM solutions and HAM solutions are presented.…”
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Mathematical Modeling and Analysis of TB and COVID-19 Coinfection by Kassahun Getnet Mekonen, Shiferaw Feyissa Balcha, Legesse Lemecha Obsu, Abdulkadir Hassen

“…This paper introduces a mathematical model for the transmission dynamics of TB and COVID-19 coinfection using a system of nonlinear ordinary differential equations. The well-posedness of the proposed coinfection model is then analytically studied by showing properties such as the existence, boundedness, and positivity of the solutions. …”
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Design of Flight Control System for a Novel Tilt-Rotor UAV by Zaibin Chen, Hongguang Jia

“…First, a new configuration scheme with the tilting rotors is designed. Then, the detailed nonlinear mathematical model is established, and the parameters are acquired from designed experiments and numerical analyses. …”
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Invariant Inhomogeneous Bianchi Type-I Cosmological Models with Electromagnetic Fields Using Lie Group Analysis in Lyra Geometry by Ahmad T. Ali

“…For this, Lie group analysis method is used to identify the generators that leave the given system of nonlinear partial differential equations (NLPDEs) (Einstein field equations) invariant. …”
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A Fault Diagnosis Method for Planetary Gearboxes Based on IFMD by Fengfeng Bie, Xueping Ding, Qianqian Li, Yuting Zhang, Xinyue Huang

“…The vibration signal from the planetary gearbox exhibits nonlinear and impulsive characteristics amidst strong noise, impeding the effective extraction of fault information and compromising the accuracy of fault diagnosis. …”
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Integral Sliding Mode and Integral Supertwisting Sliding Mode Control for Ship Course-Keeping by Muhammad Munir Butt, Azhar Iqbal Kashif Butt, Iftikhar Ahmad

“…This paper proposes variable structure-based nonlinear control algorithms, including synergetic, terminal synergetic, integral sliding mode, and integral supertwisting sliding mode controllers, for ship course-keeping. …”
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Relative Displacement Method for Track-Structure Interaction by Frank Schanack, Óscar Ramón Ramos, Juan Patricio Reyes, Marcos J. Pantaleón

“…The track-structure interaction effects are usually analysed with conventional FEM programs, where it is difficult to implement the complex track-structure connection behaviour, which is nonlinear, elastic-plastic and depends on the vertical load. …”
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Node clustered deployment of emergency Internet of things based on UAV with equipment access restriction by Wei WANG, Yajing LIANG, Li PENG, Zhongcheng WEI, Jijun ZHAO

“…Lack of ground base station in emergency Internet of things for public security application scenarios, the unmanned aerial vehicle (UAV) as the air-based base station was adopted to solve the problem of node cluster deployment under the condition of limited access of emergency Internet of things ground terminal equipment.A clustering deployment method based on on-demand K-means (ODKM) was proposed.Firstly, base station selection and equipment clustering were carried out according to the equipment access ability of different UAV air-based base stations through two clustering steps.Secondly, by solving a relaxed non convex nonlinear optimization model, the UAV air-based base station deployment based on energy efficiency optimization was realized.The experimental results show that the proposed method can meet the constraints of UAV base station access ability, and has a good performance in balancing the transmission energy consumption of each cluster, and realizes the goal of communication energy saving when the ground terminal equipment needs to access.…”
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The Influence of the Track Parameters on Vibration Characteristics of Subway Tunnel by Wenbo Shi, Linchang Miao, Junhui Luo, Honglei Zhang

“…In soft soil areas, such as the Nanjing, it is very important to quantitatively analyze the dynamic behaviors of soft soils during the metro train operation. A nonlinear coupling model of wheel-track and a finite element calculation model of tunnel and soil were established based on the mechanical character of elastic supporting block ballastless track and the actual parameters of Nanjing soft soil. …”
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Target localization method based on semi-definite relaxation with frequency difference of arrival by MAO Xiaoting, WU Xiaoping

“…To address the highly nonlinear of the established frequency measurement equation, it was transformed into a pseudo-linear equation in matrix form by introducing auxiliary variables. …”
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LSTM vs. Prophet: Achieving Superior Accuracy in Dynamic Electricity Demand Forecasting by Saleh Albahli

“…The LSTM component captures nonlinear dependencies and long-term temporal patterns, while Prophet models seasonal trends and event-driven fluctuations. …”
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Global Asymptotic Stability and Hopf Bifurcation for a Blood Cell Production Model by Fabien Crauste

“…We analyze the asymptotic stability of a nonlinear system of two differential equations with delay,describing the dynamics of blood cell production. …”
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Analytical Solutions of Time-Fractional Navier–Stokes Equations Employing Homotopy Perturbation–Laplace Transform Method by Awatif Muflih Alqahtani, Hamza Mihoubi, Yacine Arioua, Brahim Bouderah

“…The results show that the proposed method is robust, efficient, and easy to implement for both linear and nonlinear problems in science and engineering. Additionally, its computational efficiency requires less computation compared to other schemes.…”
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Impulsive Control and Synchronization of Complex Lorenz Systems by Shaban Aly, Ali Al-Qahtani, Houari B. Khenous, Gamal M. Mahmoud

“…In this paper, we continue our investigations on control and synchronization of the complex Lorenz systems by investigating impulsive control and synchronization. Nonlinear systems involving impulse effects, appear as a natural description of observed evolution phenomena of several real world problems; For example, many biological phenomena involving thresholds, bursting rhythm models in medicine and biology, optimal control models in economics, population dynamics and so forth do exhibit impulsive effects. …”
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