Theoretical investigation on models of circadian rhythms based on dimerization and proteolysis of PER and TIM by Jifa Jiang, Qiang Liu, Lei Niu

“…By imposing assumptions that the dimerization reactions were fast and dimeric proteins were in rapid equilibrium, they reduced the model to a pair of nonlinear ordinary differential equations of mRNA and total protein concentrations. …”
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Evaluation of Damage to Existing Buildings Induced by Tunnel Excavation by Ekin Evrim Laçin Akşit, Kadir Güler

“…This paper offers practical guidance on the nonlinear modeling principles of structural elements during the detailed assessment of a building subjected to vertical settlement. …”
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Frequency Dependence of C-V Characteristics of MOS Capacitors Containing Nanosized High-κ Ta2O5 Dielectrics by Nenad Novkovski, Elena Atanassova

“…The effect is highly dependent on the applied voltage, since the leakage currents are strongly nonlinear functions of the electric field in the layers. …”
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Darwinian dynamics of a juvenile-adult model by J. M. Cushing, Simon Maccracken Stump

“…The bifurcation that occurs from the extinction equilibrium in a basicdiscrete time, nonlinear juvenile-adult model for semelparous populations,as the inherent net reproductive number $R_{0}$ increases through $1$,exhibits a dynamic dichotomy with two alternatives: an equilibrium withoverlapping generations and a synchronous 2-cycle with non-overlappinggenerations. …”
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Chemical Reaction Effects on the Flow of Titanium Dioxide–Water in a Mixed Convective Nanofluid along an Inclined Plate in a Porous Medium by Md. Nasir Uddin, Kakali Chowdhury, Jannatul Ferdows Mim

“…With the aid of a system of governing partial differential equations, a set of nonlinear ordinary differential equations for taking into consideration nanofluid flow have been derived using appropriate matching transformations. …”
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Automatic Emergence Detection in Complex Systems by Eugene Santos, Yan Zhao

“…Complex systems consist of multiple interacting subsystems, whose nonlinear interactions can result in unanticipated (emergent) system events. …”
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A Novel Framework for Interactive Visualization and Analysis of Hyperspectral Image Data by Johannes Jordan, Elli Angelopoulou, Andreas Maier

“…We combine novel methods for supervised segmentation, global clustering, and nonlinear false-color coding to assist in the visual inspection. …”
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Does renewable energy reduce energy intensity? A matter of income inequality by Rongrong Li, Zhuang Yang, Qiang Wang

“…The results indicate a nonlinear relationship, driven by a single-threshold effect of income inequality. …”
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The Influence Analysis of Number of Functional Logistics Service Providers on Quality Supervision Game in LSSC with Compensation Strategy by Weihua Liu, Yijia Wang, Zhicheng Liang, Xiaoyan Liu

“…Furthermore, we propose three kinds of concrete compensation mechanisms, which are fixed, linear, and nonlinear compensation mechanism. And the optimal compensation mechanism for a LSI with different numbers of FLSPs is provided.…”
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Modeling the effect of extrusion parameters on density of biomass pellet using artificial neural network by Abedin Zafari, Mohammad Hossein Kianmehr, Rahman Abdolahzadeh

“…Background: The relationships between the density of the biomass pellet and the related variables are very complicated and highly nonlinear, which make developing a single, general, and accurate mathematical model almost impossible. …”
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Renormalized Phonon Microstructures at High Temperatures from First-Principles Calculations: Methodologies and Applications in Studying Strong Anharmonic Vibrations of Solids by Tian Lan, Zhaoyan Zhu

“…We shall see that the phonon-phonon interactions give rise to interesting coupling problems and essentially modify the equilibrium and nonequilibrium properties of materials, for example, thermal expansion, thermodynamic stability, heat capacity, optical properties, thermal transport, and other nonlinear properties of materials. The review aims to introduce some recent developements of computational methodologies that are able to efficiently model the strong phonon anharmonicity based on quantum perturbation theory of many-body interactions and first-principles molecular dynamics simulations. …”
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A Hybrid Constraints Handling Strategy for Multiconstrained Multiobjective Optimization Problem of Microgrid Economical/Environmental Dispatch by Xin Li, Jingang Lai, Ruoli Tang

“…Since the generators are diversified and the operation mode changes frequently, the MGEEED problem always has different types of constraints, such as the load balance constraints and the ramp rates constraints, which make it a nonlinear, nonconvex optimization problem. In this paper, the mathematical model of a typical MG system applied in northwest China is established. …”
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Modeling and Parameter Analysis of the OC3-Hywind Floating Wind Turbine with a Tuned Mass Damper in Nacelle by Yulin Si, Hamid Reza Karimi, Huijun Gao

“…Finally, fully coupled nonlinear wind turbine simulations with different designs are conducted in different wind and wave conditions. …”
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A Reduced Order Model Based on ANN-POD Algorithm for Steady-State Neutronics and Thermal-Hydraulics Coupling Problem by Hanxing Liu, Han Zhang

“…Due to the high-dimensional partial differential equations (PDEs) derived from the N/TH system, it is usually time consuming to solve such a large-scale nonlinear equation by the traditional numerical solution method of PDEs. …”
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Upstreamness and downstreamness in input–output analysis from local and aggregate information by Silvia Bartolucci, Fabio Caccioli, Francesco Caravelli, Pierpaolo Vivo

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Leveraging Simplex Gradient Variance and Bias Reduction for Black-Box Optimization of Noisy and Costly Functions by Mircea-Bogdan Radac, Titus Nicolae

“…The findings are validated with two comprehensive and representative case studies, one related to the minimization of a nonlinear feedback control system cost function and the second related to a deep machine learning classification problem whose hyperparameters are tuned. …”
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The Interactive Effect of Organizational Identification and Organizational Climate on Employees’ Taking Charge Behavior: A Complexity Perspective by Yun Liu, Lingjuan Chen, Liangjie Zhao, Chengai Li

“…In the view of complexity theory, the emergency behavior of individual is nonlinear and influenced not only by individual variables but also by many other environmental variables. …”
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Performance Deterioration of Pitot Tubes Caused by In-Flight Ice Accretion: A Numerical Investigation by Hao Zhang, Rui Zhao, Chih-Yung Wen

“…These findings provide guidance for the protection design of pitot tubes. A nonlinear regression analysis is further conducted to estimate the failure performance. …”
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Time-Dependent Magnetohydrodynamic (MHD) Flow of an Exothermic Arrhenius Fluid in a Vertical Channel with Convective Boundary Condition by M. M. Hamza, S. Abdulsalam, S. K. Ahmad

“…Convective heating and Navier’s slip conditions are considered. The dimensional nonlinear flow equations are transformed into dimensionless form with suitable transformation. …”
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Vibration Response Prediction of Plate with Particle Dampers Using Cosimulation Method by Dongqiang Wang, Chengjun Wu

“…First, the effects of the collisions and friction between the particles are interpreted as an equivalent nonlinear viscous damping based on MFT of gas particle. …”
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