Analytic Solutions of 2D Cubic Quintic Complex Ginzburg-Landau Equation by F. Waffo Tchuimmo, J. B. Gonpe Tafo, A. Chamgoue, N. C. Tsague Mezamo, F. Kenmogne, L. Nana

“…It is applied to reduce the two-dimensional complex cubic-quintic Ginzburg-Landau equation to the quintic nonlinear ordinary differential equation, easily solvable. …”
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Is the Linear Modeling Technique Good Enough for Optimal Form Design? A Comparison of Quantitative Analysis Models by Yang-Cheng Lin, Chung-Hsing Yeh, Chen-Cheng Wang, Chun-Chun Wei

“…The consumer-oriented design approach uses quantification theory type I, grey prediction (the linear modeling technique), and neural networks (the nonlinear modeling technique) to determine the optimal form combination of product design for matching a given product image. …”
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Dynamic Response Analysis of Planar Multilink Mechanism considering Wear in Clearances by Shuai Jiang, Xiulong Chen, Yu Deng

“…The dynamic responses of mechanism considering two nonregular revolute clearances caused by wear are studied in depth. The nonlinear characteristics of the mechanism after wear are studied by the phase diagram and Poincaré map. …”
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Experimental Study and Seismic Response Evaluation of Chlorobutyl Rubber-Based Viscoelastic Dampers by Farnoosh Roshan-Tabari, Hamid Toopchi-Nezhad, Ghodratollah Hashemi-Motlagh

“…The final component of this study involved investigating the seismic response of a 2D frame structure equipped with prototype dampers made from both reference and modified CIIR materials, using nonlinear time-history analyses. The analysis results indicated that the modified CIIR rubber can be effectively utilized in the seismic response mitigation of structures.…”
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Experimental and Numerical Studies on Wave Breaking Characteristics over a Fringing Reef under Monochromatic Wave Conditions by Jong-In Lee, Sungwon Shin, Young-Taek Kim

“…The results in this study revealed that one-layer model is not suitable in the highly nonlinear wave condition over a fringing reef bathymetry. …”
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Public Health Evaluation of COVID-19 Vaccine Acceptability and Health Behaviors in South Africa: Past, Current, and Future Implications (2020–2022) by Handan Wand, Jayajothi Moodley, Tarylee Reddy, Sarita Naidoo

“…Semiparametric regression models were used to capture the nonlinear association between the vaccine acceptability and health behaviors. …”
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BDVCM about the Steel Box Girder Reliability Prediction Based on Monitoring Extreme Stresses by Yuefei Liu, Xueping Fan, Guanghong Yang, Zhipeng Shang, Xiaoxiong Zhao

“…The analytical results illustrated that the predicted results, without considering the dynamic nonlinear dependence among the failure modes of the multiple monitoring points, are conservative.…”
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Hybridized Extreme Learning Machine Model with Salp Swarm Algorithm: A Novel Predictive Model for Hydrological Application by Zaher Mundher Yaseen, Hossam Faris, Nadhir Al-Ansari

“…The capability of the extreme learning machine (ELM) model in modeling stochastic, nonlinear, and complex hydrological engineering problems has been proven remarkably. …”
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A hybrid fractional model for cervical cancer due to human papillomavirus infection by Ali Akgül, Nauman Ahmed, Sadiya Ali Rano, Qasem Al-Mdallal

“…The proposed model consists of three fractional order nonlinear differential equations. The Grünwald Letnikov method is used to approximate the hybrid operator. …”
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CDEM-Based Numerical Simulation of Uniaxial Compressive Mechanical Properties of Rocks by Mingming Liu, Zhiyong Song, Shou Ma, Yuhua Wei, Jingrui Wang

“…The fracture degree of the rock shows a nonlinear increase with the increase in bedding strength. …”
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Hierarchical and Distributed Eco-Driving Approach for Mixed Vehicle Clusters at Unsignalized Intersections by Jie Yu, Yugong Luo, Weiwei Kong, Fachao Jiang

“…For the vehicle control layer, based on the anticipated driving speed obtained from the cloud decision layer, the nonlinear distributed model predictive control (NDMPC) method is utilized for distributed optimal control of each vehicle formation, to achieve optimization in terms of energy saving. …”
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A Novel Optimal Control Method for Impulsive-Correction Projectile Based on Particle Swarm Optimization by Ruisheng Sun, Qiao Hong, Gang Zhu

“…Finally, a simulation case coupled with a nonlinear flight dynamic model is applied to validate the modified PSO control algorithm. …”
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Blind Source Parameters for Performance Evaluation of Despeckling Filters by Nagashettappa Biradar, M. L. Dewal, ManojKumar Rohit, Sanjaykumar Gowre, Yogesh Gundge

“…The quantitative evaluation and clinical validation reveal that the filters such as the nonlocal mean, posterior sampling based Bayesian estimation, hybrid median, and probabilistic patch based filters are acceptable whereas median, anisotropic diffusion, fuzzy, and Ripplet nonlinear approximation filters have limited applications for echocardiographic images.…”
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A new optimal control approach to uncertain Euler-Lagrange equations: $ H_\infty $ disturbance estimator and generalized $ H_2 $ tracking controller by Taewan Kim, Jung Hoon Kim

“…More precisely, a linearization of the nonlinear equation was achieved through the inverse dynamic control (IDC) and an $ H_\infty $ optimal estimator was designed to address model uncertainties arising in this process. …”
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The central role of tilted anisotropy for field-free spin–orbit torque switching of perpendicular magnetization by Chen-Yu Hu, Wei-De Chen, Yan-Ting Liu, Chao-Chung Huang, Chi-Feng Pai

“…We show experimentally and in simulation that in a PMA system with tilted anisotropy, the deterministic field-free switching exhibits a conventional SHE-induced damping-like torque feature, and the resulting current-induced effective field shows a nonlinear dependence on the applied current density. …”
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Insights on Crash Injury Severity Control from Novice and Experienced Drivers: A Bivariate Random-Effects Probit Analysis by Daiquan Xiao, Quan Yuan, Shengyang Kang, Xuecai Xu

“…In order to estimate two (seemingly unrelated) nonlinear processes and to control for interrelations between the unobservables, the bivariate random-effects probit model was built up, in which injury severity levels of novice and experienced drivers were addressed by bivariate (seemingly unrelated) probit simultaneously, and the interrelations between the unobservables (i.e., heterogeneity issue) were accommodated by bivariate random-effects model. …”
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Solutions of Cauchy Problems for the Caudrey–Dodd–Gibbon–Kotera–Sawada Equation in Three Spatial and Two Temporal Dimensions by Yufeng Zhang, Linlin Gui

“…Fokas has obtained integrable nonlinear partial differential equations (PDEs) in 4 + 2 dimensions by complexifying the independent variables. …”
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Anthropological view of plague epidemics in the his­torical past by T.F. Khaydarov, D.A. Dolbin

“…This triggered our discussion on the nonlinear nature of the course of plague pandemics. …”
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Enhanced early prediction of Li-ion battery degradation using multicycle features and an ensemble deep learning model by Meilia Safitri, Teguh Bharata Adji, Adha Imam Cahyadi

“…Achieving high accuracy in the early prediction of Li-ion battery degradation is challenging owing to the nonlinear and dynamic nature of battery aging. This study introduces a GRU-LSTM ensemble model that combines Gated Recurrent Units (GRU) and Long Short-Term Memory (LSTM) networks to forecast the end-of-life (EoL) of LIBs. …”
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Coupled Vibration Characteristics Analysis of Hot Rolling Mill with Structural Gap by Guangxu Zhang, Jiahan Bao, Wenhao Li, Zhichong Wang, Xiangshuai Meng

“…On this basis, based on the distribution of friction force in the deformation zone, the rolling force and rolling torque are nonlinearized. In addition, a rolling mill structure model is established by considering the structure gap and a piecewise nonlinear horizontal-vertical-torsional vibration model of the rolling mill is established by combining the structure model and dynamic rolling process model. …”
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