An Agent-Based Model of Opinion Polarization Driven by Emotions by Frank Schweitzer, Tamas Krivachy, David Garcia

“…This information feeds back on the dynamics of emotional states and individual opinions in a nonlinear manner. We derive the critical conditions for emotional interactions to obtain either consensus or polarization of opinions. …”
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On Comparative Analysis for the Black-Scholes Model in the Generalized Fractional Derivatives Sense via Jafari Transform by Saima Rashid, Sobia Sultana, Rehana Ashraf, Mohammed K. A. Kaabar

“…The precision and efficacy of the proposed technique suggest its applicability for a variety of nonlinear evolutionary problems.…”
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Containerships Sailing Speed and Fleet Deployment Optimization under a Time-Based Differentiated Freight Rate Strategy by Hualong Yang, Yuwei Xing

“…Then, the optimization problem is formulated as a mixed-integer nonlinear programming. Its goal is to maximize the total profits of a container liner shipping. …”
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Viability Discrimination of a Class of Control Systems on a Nonsmooth Region by Na Zhao, Jianfeng Lv, Jinlin Yang, Xinzhi Liu

“…In this paper, we consider the viability for both an affine nonlinear hybrid system and a hybrid differential inclusion on a region with subdifferentiable boundary. …”
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Multi-channel QoT prediction method in wide-area optical backbone network based on ensemble learning by Xiaochuan SUN, Zhigang LI, Minghui ZHANG, Guan GUI

“…Due to the fact that in dynamic wide-area optical backbone network the accuracies of the existing prediction methods were insufficient,a novel prediction method on quality of transmission (QoT) of optical channel was proposed based on ensemble learning theory.Firstly,under the framework of stacked ensemble learning,a base-learner including five multilayer perceptron (MLP) model was built,which could achieve homomorphic ensemble learning of sample data through parallel combination.Subsequently,the new training set fused from the predicted results of the preceding base-learner was used to training the meta-learner composed of a single MLP.The simulation results show that compared with the used deep neural network,the proposed method can obtain a more excellent nonlinear approximation in the scenarios of the single-channel and multi-channels,and the prediction accuracies have the improvements of 1.93% and 3.82% respectively.…”
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Multifractal Detrended Cross-Correlation Analysis of the Return-Volume Relationship of Bitcoin Market by Wei Zhang, Pengfei Wang, Xiao Li, Dehua Shen

“…The empirical results based on multifractal detrended cross-correlation analysis (MF-DCCA) reveal that (1) the nonlinear dependencies and power-law cross-correlations in return-volume relationship are found; (2) all cross-correlations are multifractal, and there are antipersistent behaviors of cross-correlation for q=2; (3) the price of small fluctuations is more persistent than that of the volume, while the volume of larger fluctuations is more antipersistent; and (4) the rolling window method shows that the cross-correlations of return-volume are antipersistent in the entire sample period.…”
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Dry Friction Interblade Damping by 3D FEM Modelling of Bladed Disk: HPC Calculations Compared with Experiment by Luděk Pešek, Pavel Šnábl, Vítězslav Bula

“…HPC computation with a proposed strategy was used to lower the computational time of the nonlinear solution of the wheel resonant attenuation used for damping estimation. …”
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Investigations on Growth, Optical and Thermal Properties of Sulphamic Acid Single Crystals by D. Jaishree, G. Kanchana, R. Kesavasamy

“…The thermal behaviour of the crystal was studied by thermogravimetric (TG) and differential scanning calorimetric (DSC) studies. The nonlinear optical (NLO) characteristic of this material was explored by the second harmonic generation (SHG) conversion efficiency.…”
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On High-Dimensional Time-Variant Reliability Analysis with the Maximum Entropy Principle by Fuliang Zhou, Yu Hou, Hong Nie

“…The proposed method is successfully applied to the reliability analysis of a linear and a nonlinear structural system, which involves a large number of inputs deriving from the discretization of the input random processes.…”
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Quadcopter Aggressive Maneuvers along Singular Configurations: An Energy-Quaternion Based Approach by Ayman A. El-Badawy, Mohamed A. Bakr

“…Three looping strategies (circular, clothoidal, and newly developed constant thrust) are implemented on a nonlinear model of the quadcopter. The three looping strategies are discussed along with their advantages and limitations.…”
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Modeling and Analysis of Energy/Exergy for Absorber Pipes of Linear Parabolic Concentrating Systems by Reza Alayi, Mahdi Mohkam, Hossein Monfared, Alibek Issakhov, Nima Khalilpoor

“…The results show that increasing the length of the absorber pipe causes a nonlinear decrease in the efficiency of the absorber pipe. …”
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Investigation of Subcombination Internal Resonances in Cantilever Beams by Haider N. Arafat, Ali H. Nayfeh

“…The effect of geometric and inertia nonlinearities, which are cubic in the governing equation of motion, is considered. …”
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Novel Analytical and Numerical Approximations to the Forced Damped Parametric Driven Pendulum Oscillator: Chebyshev Collocation Method by M.R. Alharthi, Alvaro H. Salas, Wedad Albalawi, S.A. El-Tantawy

“…In this work, some novel approximate analytical and numerical solutions to the forced damped driven nonlinear (FDDN) pendulum equation and some relation equations of motion on the pivot vertically for arbitrary angles are obtained. …”
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Sledgehamr: Simulating Scalar Fields with Adaptive Mesh Refinement by Malte Buschmann

“…Understanding the nonlinear dynamics of coupled scalar fields often necessitates simulations on a 3D mesh. …”
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Robust Control of Wind Turbines by Using Singular Perturbation Method and Linear Parameter Varying Model by Yan Zhang, Zhengfan Liu, Zhong Yang, Haifei Si

“…A linear parameter varying (LPV) model is developed to approximate the nonlinear singularly perturbed model. Then stability and robust properties of the open-loop linear singularly perturbed system are analyzed using linear matrix inequalities (LMIs). …”
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Seismic Stability Analysis of Saturated and Unsaturated Soil Slopes Using Permanent Displacement by Shuai Huang, Yanju Peng

“…Then, based on the proposed calculation method of dynamic pore water pressure combined with the limit equilibrium and finite element methods, we introduce a simple calculation method of permanent displacement, which avoids solving complex nonlinear equations and greatly simplifies the computational effort. …”
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Research on Hybrid Hysteresis Modeling of Harmonic Reducer based on Parallel with Memristor Hysteresis Model and Neural Network by Xuanju Dang, Fang Wei

“…The difference between the hysteresis model of the harmonic reducer and the memristor hysteresis model is compensated by the RBF neural network with nonlinear fitting ability. Experimental data verification results show that，compared with the memristor hysteresis model，the constructed hybrid hysteresis model can effectively describe the abrupt and non-smooth characteristics of the hysteresis of the harmonic reducer. …”
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Dynamics of the rational difference equations by Burak Oğul

“…We study the periodicity, boundedness, oscillation, stability, and certain exact solutions of nonlinear difference equations of generalized order in this paper. …”
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On the space of 2d integrable models by Lukas W. Lindwasser

“…These Lie algebras are defined by the set of infinitesimal, nonlinear, and higher derivative symmetry transformations present in theories with a left(right)-moving or (anti)-holomorphic current. …”
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Dual-functional radar-communication waveform trade-off optimal design with peak average power ratio constraint by Yuefeng HOU, Xiao ZHAO, Jianing LIU, Rongkang ZHOU, Wenbo WANG, Feng TIAN

“…Based on the same hardware platform, spectrum resources, and transmit waveforms, dual-function radar-communication (DFRC) can achieve radar and communication functions at the same time, which provides a strong support for realizing integrated sensing and communication (ISAC).Aiming at the dual-function radar communication system, radar and communication waveform trade off optimal design was studied, and a non-convex optimization problem was constructed with quadratic equality and inequality constraints under the constraints of transmission energy consumption and peak-to-average ratio (PAPR).The nonlinear equality constrained alternative direction method of multipliers was used to decompose the non-convex optimization problem into three sub-problems.The simulation results show that the optimized dual-function radar communication waveform can approach the ideal radar waveform and realize the optimal performance tradeoff between radar and communication.…”
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