Fixed Point Results for Almost Generalized Cyclic (ψ,φ)-Weak Contractive Type Mappings with Applications by Mohamed Jleli, Erdal Karapınar, Bessem Samet

“…Moreover, we state some applications of our main results in nonlinear integral equations.…”
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Exact Traveling Wave Solutions to the (2 + 1)-Dimensional Jaulent-Miodek Equation by Yongyi Gu, Bingmao Deng, Jianming Lin

“…It has presented that the applied method is very efficient and is practically well suited for the nonlinear differential equations that arise in mathematical physics.…”
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Description of Dispersive Wave Emission and Supercontinuum Generation in Silicon Waveguides Using Split-Step Fourier and Runge-Kutta Integration Methods by Xuefeng Li

“…Based on solving numerically the generalized nonlinear Schrödinger equation describing the propagation of high order femtosecond soliton in silicon waveguide under certain parametric conditions by the split-step Fourier and Runge-Kutta integration methods, dispersive wave emission and supercontinuum generation in silicon waveguides are numerically investigated by propagating femtosecond solitons. …”
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Energy transfer aspects of chemically reactive Casson fluid between a conical gap of cone-disk system with multiple rotations by M. Qamar, M. Khan, A.S. Alqahtani, M.Y. Malik

“…The physical characteristics of nonlinear PDEs are converted into nonlinear coupled ODEs utilizing the right similarity variables. …”
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Development of a Three-Stage Hybrid Model by Utilizing a Two-Stage Signal Decomposition Methodology and Machine Learning Approach to Predict Monthly Runoff at Swat River Basin, Pak... by Muhammad Sibtain, Xianshan Li, Ghulam Nabi, Muhammad Imran Azam, Hassan Bashir

“…Nevertheless, the hydrological runoff practically possesses a nonlinear dynamics, and constructing appropriate runoff prediction models to deal with the nonlinearity is a challenging task. …”
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Microstructure effect of mechanical and cracking behaviors on brittle rocks using image-based fast Fourier transform method by Mingyao Li, Lei Peng, Dejun Liu, Jianping Zuo

“…The internal microstructures of rock materials, including mineral heterogeneity and intrinsic microdefects, exert a significant influence on their nonlinear mechanical and cracking behaviors. It is of great significance to accurately characterize the actual microstructures and their influence on stress and damage evolution inside the rocks. …”
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Data-Driven Bearing Fault Diagnosis of Microgrid Network Power Device Based on a Stacked Denoising Autoencoder in Deep Learning and Clustering by Fast Search without Data Labels by Fan Xu, Xin Shu, Xin Li, Xiaodi Zhang

“…The SDAE can extract the representative degradation information adaptively from the original data through several nonlinear hidden layers automatically and approximate complicated nonlinear functions with a small reconstruction error. …”
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Influence of Cord Parameters on the Load Characteristics of Airbags by Yu-Ru Li, Shou-Ne Xiao, Jun-Ke Xie, Tao Zhu, Bing Yang, Guang-Wu Yang, Shi-De Xiao

“…To accurately characterize the large deformation and nonlinear characteristics of airbags, the influence of cord parameters on vertical force characteristics was studied, and a finite-element simulation model of airbags based on gas-solid coupling was established. …”
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Evidence from NHANES 2011–2014: a correlation between the weight-adjusted-waist index and cognitive abilities in the United States by Chan Zhao, Xintian Xu, Chunyan Hao

“…Furthermore, we performed a smoothenable curve fitting between WWI and cognitive function scores, resulting in a nonlinear connection and a threshold saturation effect. …”
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Performance Evaluation of Machine Learning Models for Predicting Energy Consumption and Occupant Dissatisfaction in Buildings by Haidar Hosamo, Silvia Mazzetto

“…ANN excelled at PPD predictions, achieving the lowest MAE (1.55%) and Mean Absolute Percentage Error (MAPE: 4.97%), demonstrating its ability to model complex nonlinear relationships. This nonlinear modeling advantage contrasts with LightGBM’s balance of speed and accuracy, making it suitable for computationally constrained tasks. …”
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Associations between phenol and paraben exposure and the risk of developing breast cancer in adult women: a cross-sectional study by Yao Xiong, Zhiyu Li, Xiong Xiong, Zixuan Luo, Kaixin Zhong, Jiawei Hu, Shengrong Sun, Chuang Chen

“…The results from the weighted multivariable regression models indicated that exposure to elevated concentrations of TRS increased the risk of developing BC by 2.33 (Q2: 95% CI = 1.45–3.75, p < 0.001) and 1.94 times (Q3: 95% CI = 1.21–3.09, p = 0.006), respectively. The nonlinear association between TRS concentrations and the risk of developing BC was statistically significant (P nonlinear = 0.007), with the restricted cubic splines (RCS) curve exhibiting an inverted U shape. …”
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Risk Balancing of Cold Ischemic Time against Night Shift Surgery Possibly Reduces Rates of Reoperation and Perioperative Graft Loss by Nikos Emmanouilidis, Julius Boeckler, Bastian P. Ringe, Alexander Kaltenborn, Frank Lehner, Hans Friedrich Koch, Jürgen Klempnauer, Harald Schrem

“…ORs for DGF were plotted against CIT and a nonlinear regression function with best R2 was identified. …”
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Numerical simulation of rotating flow of CNT nanofluids with thermal radiation, ohmic heating, and autocatalytic chemical reactions by S. Eswaramoorthi, Saleem Nasir, K. Loganathan, M. Satyanarayana Gupta, Abdallah Berrouk

“…Suitable conversions are adopted to alter the governing nonlinear PDEs into nonlinear ODEs. The reduced ODEs are numerically reckoned by adopting the bvp4c scheme in MATLAB. …”
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Effect of Walking Speeds on Complexity of Plantar Pressure Patterns by Ben-Yi Liau, Fu-Lien Wu, Yameng Li, Chi-Wen Lung, Ayman A. Mohamed, Yih-Kuen Jan

“…Current methods used to analyze plantar pressure patterns are linear and ignore nonlinear features. The purpose of this study was to analyze the complexity of plantar pressure images after walking at various speeds using nonlinear bidimensional multiscale entropy (MSE2D). …”
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Surface remodeling and inversion of cell-matrix interactions underlie community recognition and dispersal in Vibrio cholerae biofilms by Alexis Moreau, Danh T. Nguyen, Alexander J. Hinbest, Anthony Zamora, Ranjuna Weerasekera, Katherine Matej, Xuening Zhou, Sandra Sanchez, Ignacio Rodriguez Brenes, Jung-Shen Benny Tai, Carey D. Nadell, Wai-Leung Ng, Vernita Gordon, Natalia L. Komarova, Rich Olson, Ying Li, Jing Yan

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Individual and joint effects of exposure to multiple organophosphate esters and the risk of depression in adults: Differences in sex, age, and physical activity by Qingmiao Wei, Jiyun Wei, Jun Liang

“…In the BKMR, a positive association was noted between OPE mixtures and depression scores, and a U-shaped nonlinear association was noted between OPE mixtures and the risk of depression. …”
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Enhancing heat exchanger design using autoencoder model for predicting efficiency and cost in chemical processing by Manimegalai T, Anitha Gopalan, Vanmathi Murugesan, Jayant Giri, Praveen Barmavatu, Praveenkumar T R, Dinesh Mavaluru, Rafath Samrin

“…By learning the underlying patterns and relationships within the data, the autoencoder can effectively capture the nonlinear mappings between design parameters and performance metrics. …”
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Visible light-responsive hydrogels for cellular dynamics and spatiotemporal viscoelastic regulation by Yan Lu, Cheng Chen, Hangyu Li, Peng Zhao, Yuanfeng Zhao, Bohan Li, Wei Zhou, Gaofeng Fan, Dongshi Guan, Yijun Zheng

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Thermal Convective Instabilities and Chaos in a Rotating Hybrid Nanofluid Layer with Cattaneo–Christov Heat Flux Model by Sèmako Justin Dèdèwanou, Adjimon Vincent Monwanou, Aimé Audran Koukpémèdji, Amoussou Laurent Hinvi, Clément Hodévèwan Miwadinou, Jean Bio Chabi Orou

“…The linear and nonlinear dynamics of thermal convection of a rotating hybrid nanofluid layer heated from below with the Cattaneo–Christov heat flux model are studied in this paper. …”
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A two-scale computational homogenization approach for elastoplastic truss-based lattice structures by Hooman Danesh, Lisamarie Heußen, Francisco J. Montáns, Stefanie Reese, Tim Brepols

“…This study develops a two-scale homogenization framework to model such structures, focusing on post-yielding deformations, using a combined nonlinear exponential isotropic-kinematic hardening model for the lattice struts. …”
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