Coupled Fixed Point Theorems with Rational Type Contractive Condition in a Partially Ordered G-Metric Space by K. Chakrabarti

“…Coupled fixed point theorems for a map satisfying mixed monotone property and a nonlinear, rational type contractive condition are established in a partially ordered G-metric space. …”
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On the recursive sequence xn+1=−1/xn+A/xn−1 by Stevo Stević

“…We investigate the periodic character of solutions of the nonlinear difference equation xn+1=−1/xn+A/xn−1. We give sufficient conditions under which every positive solution of this equation converges to a period two solution. …”
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Shaking Table Study on the Seismic Performance of Geogrid Reinforced Soil Retaining Walls by Xiaoguang Cai, Sihan Li, Honglu Xu, Liping Jing, Xin Huang, Chen Zhu

“…The friction coefficient is nonlinearly distributed along with the reinforcements, and the maximum friction coefficient appears at the top layer (F11).…”
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Research Progress in Computational Methods for System-Level Coupling of Electromagnetic Pulse by Haiyan Xie, Jianguo Wang

“…Their abilities to analyze nonlinear systems are examined. The transient EMT method is not only applicable to nonlinear cases but can also be easily integrated with circuit or device analysis. …”
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Evaluation of the Autoparametric Pendulum Vibration Absorber for a Duffing System by Benjamın Vazquez-Gonzalez, Gerardo Silva-Navarro

“…In the absorber frequency response can be appreciated a good absorption capability for certain ranges of nonlinear stiffness and the internal coupling is maintained by the existing damping between the pendulum and the primary system. …”
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Optical soliton solutions of the M-fractional paraxial wave equation by Md. Habibul Bashar, Md. Abde Mannaf, M. M. Rahman, Mst. Tania Khatun

“…The strategy introduced is fundamental and robust as a smart soliton solution for nonlinear partial differential equations, and it may play a crucial role in nonlinear optics, fiber optics, and communication systems.…”
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On Behavioral Response of 3D Squeezing Flow of Nanofluids in a Rotating Channel by Mubashir Qayyum, Omar Khan, Thabet Abdeljawad, Naveed Imran, Muhammad Sohail, Wael Al-Kouz

“…Using Navier–Stokes equations along with suitable similarity transformations, a nonlinear coupled ordinary differential system has been derived which models the 3D squeezing flow of nanofluids with lower permeable stretching porous wall where the channel is also rotating. …”
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Experimental Study on Dynamic Resilient Modulus of Lime-Treated Expansive Soil by Zheng Lu, Yang Zhao, Shaohua Xian, Hailin Yao

“…The results indicate that the dynamic resilient modulus of lime-treated expansive soils increases nonlinearly with the increase of compaction degree, while decreases nonlinearly with the increase of dynamic stress level. …”
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A Modified RBF Neuro-Sliding Mode Control Technique for a Grid Connected PMSG Based Variable Speed Wind Energy Conversion System by Rostand Marc Douanla, Godpromesse Kenné, François Béceau Pelap, Armel Simo Fotso

“…The results analysis shows the superiority of the proposed RBF neuro-sliding mode controller compared to a nonlinear controller based on sliding mode control method when the system undergoes parameter uncertainties.…”
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Establishment of Approximate Analytical Model of Oil Film Force for Finite Length Tilting Pad Journal Bearings by Yongliang Wang, Yu Gao, Ying Cui, Zhansheng Liu

“…The objective of this paper is to present a nonlinear oil force model for finite length tilting pad journal bearings. …”
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A new continuous optimization method of standardized cubic permanent magnets for stellarators by Xiangyu Zhang, Dehong Chen, Guosheng Xu, Zhiyuan Lu, Caoxiang Zhu, Liang Chen, Minyou Ye, Baonian Wan

“…This paper introduces a novel method that converts the discrete optimization problem into a continuous nonlinear optimization problem, enabling the direct application of well-established nonlinear optimization algorithms. …”
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Influence of Bottom Ash Replacements as Fine Aggregate on the Property of Cellular Concrete with Various Foam Contents by Patchara Onprom, Krit Chaimoon, Raungrut Cheerarot

“…From the experimental results, it can be concluded that bottom ash can be used as fine aggregate in the cellular concrete. In addition, the nonlinear regression models give very high degree of accuracy (R2>0.99).…”
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Study on the Allowable Exposure Time of Temporary Goaf in the Open Stope and Backfill Mining Method with Large Structure Parameters by Xiaosheng Liu, Weijun Wang, Yizhong Luo, Jin Zhan

“…The creep models of iron ore and filling body which can show the attenuation creep of rock were constructed. And a nonlinear creep model was obtained. According to the rheological data of the iron ore and the filling body, the parameters of the new nonlinear creep model were identified to obtain the material parameters of the creep model. …”
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Battery Energy Forecasting in Electric Vehicle Using Deep Residual Neural Network by Mohamad Reda A. Refaai, Jyothilal Nayak Bharothu, T. V. V. Pavan Kumar, Chodagam Srinivas, M. Sudhakar, Anirudh Bhowmick

“…The inability of physical SOH estimators to cope with the dynamic character of SOH when operating in a highly nonlinear environment is a common limitation when operating in nonlinear environments. …”
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The Car Following Model with Relative Speed in Front on the Three-Lane Road by Zichu Gao, Ning Zhang, Livia Mannini, Ernesto Cipriani

“…The stability criterion and neutral stability curve are obtained by linear stability theory. The nonlinear stability analysis is investigated further to get the solution of the modified Korteweg-de Vries (mKdV) equation and get the three areas of stability, metastability, and unstability. …”
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Cleaning Schedule Optimization of Heat Exchangers with Fouling on Tube and Shell Sides: A Metaheuristic Approach by João P. V. de Cesaro, Mauro A. S. S. Ravagnani, Fernando D. Mele, Caliane B. B. Costa

“…Additionally, the relationship between cleaning actions and PHT performance is nonlinear, with diminishing returns from additional cleaning, and optimal cleaning schedules are often asymmetric for different HEXs within the same PHT. …”
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Pounding Effects in Simply Supported Bridges Accounting for Spatial Variability of Ground Motion: A Case Study by G. Tecchio, M. Grendene, C. Modena

“…In order to include the effects due to the main nonlinear behaviours of the bridge components, a 3D finite element model has been developed, in which the pounding of decks at cap-beams, the friction of beams at bearings, and the hysteretic behaviour of piers have been accounted for. …”
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A fault calculation method for large-scale photovoltaic integrated transmission systems by Hongyue Ma, Tao Zheng, Tao Zhang, Zhiguo Hao

“…More importantly, a time-/phasor-domain alternating calculation method is developed, which effectively addresses the nonlinear control loops while simultaneously reducing the complexity of fault calculations in multi-IBR systems. …”
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A Linear Method to Derive 3D Projective Invariants from 4 Uncalibrated Images by YuanBin Wang, XingWei Wang, Bin Zhang, Ying Wang

“…A well-known method proposed by Quan to compute projective invariants of 3D points uses six points in three 2D images. The method is nonlinear and complicated. It usually produces three possible solutions. …”
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Influence of titanium and gold platelet morphology on heat transfer in biomagnetic third-grade hybrid nanofluid flow through a vertical channel by S. Suneetha, S.R.R. Reddy, Maduru Lakshmi Rupa, T. Mahesh Kumar, Mohammed Jameel, Taoufik Saidani, Lamia Abu El Maati, Dilsora Abduvalieva, M. Ijaz Khan

“…Through the use of perturbation, the nonlinear momentum and energy equations are reduced to nonlinear ordinary differential equations. …”
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