Evidence of Exponential Speed-Up in the Solution of Hard Optimization Problems by Fabio L. Traversa, Pietro Cicotti, Forrest Sheldon, Massimiliano Di Ventra

“…Then, we solve its associated nonlinear ordinary differential equations numerically, towards the equilibrium points. …”
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A Study Using the Network Simulation Method and Nondimensionalization of the Fiber Fuse Effect by Juan Francisco Sanchez-Pérez, Joaquín Solano-Ramírez, Fulgencio Marín-García, Enrique Castro

“…The results highlight the effectiveness of the NSM in solving nonlinear and coupled problems in thermal engineering, providing a solid framework for future research in the optimisation of optical communication systems.…”
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Seismic performance assessment of deficient RC structures retrofitted with different steel bracing systems by Meriem Bouderradji, Mohammed Salah Dimia, Soumia Gherabli, Ahmed Rafik Belakhdar, Noureddine Lahbari

“…The main objective of the current study is to find out the most effective bracing system to upgrading the seismic behavior of deficient RC structures. The nonlinear static pushover and dynamic time-history analyses were carried out. …”
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Quantitative Attribution Analysis of the Spatial Differentiation of Gully Erosion in the Black Soil Region of Northeast China by Ranghu Wang, Nan Wang, Yingchao Fan, Huan Sun, Hanpei Fu, Jiuchun Yang

“…The interactions among most driving factors showed nonlinear enhancement. The influence of the interaction between lithology and soil type appeared to be the largest. …”
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Thermal Analysis of a Casson Boundary Layer Flow over a Penetrable Stretching Porous Wedge by Dur-e-Shehwar Sagheer, Mohammad Alqudah, Nawal A. Alshehri, M. Sabeel Khan, M. Asif Memon, R. Shehzad, Amsalu Fenta

“…The modeled problem is a set of PDEs, which is nondimensionalized to derive a nonlinear boundary value problem (BVP). The obtained BVP is solved using the shooting technique, endowed with the order four Runge-Kutta and Newton methods. …”
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Application and Analysis of an Ionic Liquid Gel in a Soft Robot by Chenghong Zhang, Bin He, Zhipeng Wang, Yanmin Zhou, Aiguo Ming

“…An ILG soft actuator was designed, the material preparation principle was expounded, and the design method of the soft robot mechanism was discussed. Based on nonlinear finite element theory, the deformation mechanism of the ILG actuator was deeply analyzed and the deformation of the soft robot when grabbing an object was also analyzed. …”
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Time Domain Equalization and Digital Back-Propagation Method-Based Receiver for Fiber Optic Communication Systems by Fazal Muhammad, Farman Ali, Usman Habib, Muhammad Usman, Imran Khan, Sunghwan Kim

“…In this paper, digital signal processing- (DSP-) assisted dispersion and nonlinear compensation techniques are presented to compensate for physical layer impairments including OFCD, PMD, and POaN. …”
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Effect of Fluctuation of Dust Grain Charge on Electrostatic Sheath Formation in Dusty Plasma with Tsallis Electron Distribution by Fatemeh Kashkooei Jahromi, Iman Motie, Ali Bakhshayeshi, Taghi Mirzaye, Babak Haghighi

“…For the first time, by solving the Sagdeev potential, a function is obtained which shows that when this function becomes negative, the ions accelerate into the region of the sheath and form an electrostatic sheath. This nonlinear function is heavily dependent on nonextensive degree of electron, the ion density ratio to electron and kind of plasma gases. …”
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An Integrated Image Encryption Scheme Based on Elliptic Curve by Ijaz Khalid, Tariq Shah, Sayed M. Eldin, Dawood Shah, Muhammad Asif, Imran Saddique

“…At the same time, the diffusion module is attained through highly nonlinear sequences, which are generated through the elliptic curve. …”
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Multifeature Extraction of Three-Dimensional Topography of Carbon Steel Specimen during Fatigue Process by Tao Liu, Jingxiong Wu, Jingfa Lei, Xue Wang, Bingqi Zhang, Shu Zhang

“…The Bayesian data fusion method was applied to establish a nonlinear mapping between the topography features and the damage, with the above five characteristic parameters (Sa, Δα, A, μ, and δ) as the data layer. …”
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A Novel Method for Economic Dispatch with Across Neighborhood Search: A Case Study in a Provincial Power Grid, China by Guojiang Xiong, Jing Zhang, Xufeng Yuan, Dongyuan Shi, Yu He, Yao Yao, Gonggui Chen

“…It is mathematically a typical complex nonlinear multivariable strongly coupled optimization problem with equality and inequality constraints, especially considering the valve-point effects. …”
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Adaptive Dead Zone Compensation Control Method for Electro-Hydrostatic Actuators Under Low-Speed Conditions by Haoyi Jiang, Zhenfei Ling, Fengqi Zhou, Maowen Sun, Hao Liu, Lilin Xu, Yeming Yao, Xiaoping Ouyang, Huayong Yang

“…Abstract This study proposes an accurate dead zone compensation control method for electro-hydrostatic actuators (EHAs) under low-speed conditions. Specifically, the nonlinear dead zone characteristics under low-speed conditions are summarized based on numerous EHA experiments. …”
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Application of Covariance Matrix Adaptation-Evolutionary Strategy for Modified Constrained Optimal Power Flow Problem Incorporating Valve Point and Emission Effect by Hari Krishna Achuthan Parthasarathy, Madhusudan Saranathan, Tamilselvi S., Karuppiah N., Praveen Kumar Balachandran, Dhanamjayulu C., Baseem Khan, Thamilmaran A.

“…Primary feature in a gas power plant that raises a lot of computational shortcomings with nonlinear structure in fuel cost is valve point effect. …”
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A Magnetohydrodynamics Simulation of Coronal Mass Ejections in the Upper Corona at 2.5R⊙ ≤ r ≤ 19R⊙ by Keiji Hayashi, Chin-Chun Wu, Kan Liou

“…Therefore, for better simulating the propagation of the CME, it is important for the CME models to include the nonlinear MHD interactions in the subsonic/Alfvénic regions.…”
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A Recognition Methodology for the Key Geometric Errors of a Multi-Axis Machine Tool Based on Accuracy Retentivity Analysis by Shijie Guo, Shufeng Tang, Dongsheng Zhang

“…The results show that the variation in the spatial error vector is nonlinear while considering the operation time of the machine tool and the position of the motion axes. …”
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Evaluation of Failure Probability in Series System of Three-Axle Trucks under Strong Crosswind by Yahui Hu, Yingshi Guo, Rui Fu, Qingjin Xu

“…Four factors affecting the six-component force coefficient of the three-axle truck and the crosswind load are considered: fluctuating average wind speed, wind direction (angle), truck driving speed, and road adhesion coefficient. A three-axle truck nonlinear model is established accordingly. The model is used to obtain the dynamic response of the three-axle truck under strong crosswind conditions as per the time-varying curves of the vertical load of the truck, the time-varying curves of the lateral displacement of the center of mass, and the time-varying curves of the heading angle. …”
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Numerical Simulation Study on Lateral Displacement of Pile Foundation and Construction Process under Stacking Loads by Yan-yan Cai, Bing-xiong Tu, Jin Yu, Yao-liang Zhu, Jian-feng Zhou

“…Our analysis indicates that a nonlinear relationship exists between the lateral displacement at the pile top and the pile diameter. …”
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Fractional Stress Relaxation Model of Rock Freeze-Thaw Damage by Q. Liu, W. Chen, J. K. Guo, R. F. Li, D. Ke, Y. Wu, W. Tian, X. Z. Li

“…A new three-element model is established to better reflect the nonlinear stress relaxation behavior of rocks under freeze-thaw. …”
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Methodology to compute the speed of pumps that fit the hydrodynamic levels in a well field by Georgescu Sanda-Carmen, Găitănaru Ștefan-Dragoș, Iancu Iulian, Miron Călin Ioan, Georgescu Andrei-Mugur

“…The method is exemplified for a case study in Bucharest − a small well field, for which hydrogeological data are available. The nonlinear system of equations that defines the hydraulic system operation is solved in MATLAB for the stationary flow regime attained after reaching constant hydrodynamic levels in all wells. …”
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Skillful subseasonal ensemble predictions of heat wave onsets through better representation of land surface uncertainties by Qiyu Zhang, Mu Mu, Guodong Sun

“…In this study, a conditional nonlinear optimal perturbation related to parameters (CNOP-P) approach was employed to generate ensemble members for representing the uncertainties in land surface processes resulting from parameters. …”
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