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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A New Two-Lane Lattice Hydrodynamic Model considering the Traffic Interruption Probability under Honk Environment by Qingying Wang, Hongxia Ge, Rongjun Cheng

“…Then, the mKdV equation near the critical point can be obtained by applying nonlinear analysis, which describes the traffic jams according to the kink-antikink density waves. …”
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Reaction-diffusion for fish populations with realistic mobility by Philip Broadbridge

“…Nonlinear reaction-diffusion equations, with Fisher logistic growth and constant diffusion coefficient, have been used in fisheries research to estimate sustainable harvesting rates and critical domain sizes of no-take areas. …”
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An Optimization to Schedule Train Operations with Phase-Regular Framework for Intercity Rail Lines by Huimin Niu, Minghui Zhang

“…This paper proposes a phase-regular scheduling method which divides a day equally into several time blocks and applies a regular train-departing interval and the same train length for each period under the period-dependent demand conditions. A nonlinear mixed zero-one programming model, which could accurately calculate the passenger waiting time and the in-train crowded cost, is developed in this study. …”
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On the System Entropy and Energy Dissipativity of Stochastic Systems and Their Application in Biological Systems by Bor-Sen Chen, Xiangyun Lin, Weihai Zhang, Tianshou Zhou

“…The system entropy and the energy dissipativity of nonlinear stochastic biological systems are also discussed and compared based on a global linearization method. …”
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Experimental evaluation of DC-DC buck converter based on adaptive fuzzy fast terminal synergetic controller by Zahira Anane, Badreddine Babes, Noureddine Hamouda, Omar Fethi Benaouda, Saud Alotaibi, Thabet Alzahrani, Dessalegn Bitew Aeggegn, Sherif S. M. Ghoneim

“…A type-1 fuzzy logic system (T1-FLS) make the considered controller more robust and is utilized to estimate the undefined converter nonlinear dynamics without resorting to the usual linearization and simplifications of the converter model. …”
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Improved Error Reduction and Hybrid Input Output Algorithms for Phase Retrieval by including a Sparse Dictionary Learning-Based Inpainting Method by Jian-Jia Su, Chung-Hao Tien

“…The phase retrieval (PR), reconstructing an object from its Fourier magnitudes, is equivalent to a nonlinear inverse problem. In this paper, we proposed a two-step algorithm that traditional ER/HIO iteration plays as the coarse feature reconstruction, whereas the KSVD-based inpainting technique deals with the fine feature set accordingly. …”
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Mathematical Modeling, Analysis, and Optimal Control of Corruption Dynamics by Haileyesus Tessema Alemneh

“…In this paper, a nonlinear deterministic model for the dynamics of corruption is proposed and analysed qualitatively using the stability theory of differential equations. …”
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Optimal Position and Velocity Estimation for Multi-USV Positioning Systems with Range Measurements by Wei Chen, Ruisheng Sun, Weisheng Yan

“…According to the range measurement and kinematics model of the target, we formulate this problem in a mixed linear/nonlinear discrete-time system. In this system, the input and state represent the velocity and position of the target, respectively. …”
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Research on chaotic secure communication system based on all optical chaos injection double-loop electro-optical phase feedback loop by ZHOU Xuefang, WANG Fei, YANG Guowei, BI Meihua, XU Mengmeng, HU Miao

“…Firstly, optical chaos was generated by all optical feedback and coupled to two electro-optic phase chaos feedback loops. Then, the nonlinear coupling of information and chaotic carrier was achieved through phase modulation to participate in the generation of chaotic carrier. …”
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Improved Solutions for the Optimal Coordination of DOCRs Using Firefly Algorithm by Muhammad Sulaiman, Waseem, Shakoor Muhammad, Asfandyar Khan

“…It is a complex and highly nonlinear constrained optimization problem. In this problem, we have two types of design variables, which are variables for plug settings (PSs) and the time dial settings (TDSs) for each relay in the circuit. …”
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CSI feedback algorithm based on RM-Net for massive MIMO systems in high-speed mobile environment by Yong LIAO, Shiyi WANG

“…Aiming at the complex and changeable channel characteristics in high-speed mobile environment, and the influence of additive noise and nonlinear effects, a residual mixing network (RM-Net) for massive MIMO CSI feedback was proposed.By learning the spatial structure and temporal correlation of high-speed mobile channel, the network was able to remove massive MIMO channel noise, and the CSI compression rate and recovery quality could be significantly improved.System simulation results show that RM-Net can eliminate the influence of additive noise in high-speed mobile scenarios, learn and adapt to the channel characteristics of sparse and double-selective fading channels, and still has good performance under the conditions of high compression rate and low signal-to-noise ratio.The proposed algorithm performance is much better than other CS-based and DL-based CSI feedback algorithms.…”
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Comparing Statistical and Machine Learning Methods for Time Series Forecasting in Data-Driven Logistics—A Simulation Study by Lena Schmid, Moritz Roidl, Alice Kirchheim, Markus Pauly

“…We therefore simulate various linear and nonlinear time series that reflect different situations. …”
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FAULT DIAGNOSIS BASED ON IMPROVED LOCALITY PRESERVING PROJECTIONS ALOGRITHM by LU Li, CHEN Ying

“…In NPSKLPP,firstly,by changing the Euclidean distance to the Cosine distance which is more robust to outline,and constructing a none parameter nearest-neighbor graph which combined sample label information. And then use the nonlinear mapping to map the high dimension fault feature into an implicit feature space to dimension reduction. …”
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Visco-Elastoplastic Constitutive Fatigue Model for Rocks by Jianhao Liu, Shaoyun Pu, Junying Rao

“…Meanwhile, a fatigue yield criterion for rocks under cyclic loading was proposed, and a three-dimensional nonlinear visco-elastoplastic fatigue constitutive model (NVPFM) for rocks was established by using the flow criterion related to the proposed fatigue yield criterion. …”
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Requirements-oriented spectrum sharing for OFDMA cognitive radio networks by Chi ZHANG, Bi-qing ZENG, Jin-song YANG, Xiao-hong XIE

“…Considering the satisfaction of the secondary network communication requirements,a two-stage model was proposed to address the spectrum leasing and allocation problem in OFDMA cognitive radio networks(CRN).At the first stage of the model,the secondary base station(SBS)collected channel capacity requirements of the secondary network,and rent the spectrum resource from multiple primary base stations(PBS).The trade behaviors between the PBS and the SBS were modeled with a Bertrand game,and adopted the Nash equilibrium as the pricing scheme.At the second stage,with the Nash bargaining solution(NBS),the subcarriers and power allocation problem were defined as a nonlinear programming problem,and obtained the solution by Lagrange multiplier method.Comparing with the other spectrum allocation schemes,simulation results show the proposed spectrum sharing scheme can satisfy each secondary user’s communication requirements more fairly and efficiently.…”
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Microstructure and Nonohmic Properties of SnO2-Ta2O5-ZnO System Doped with ZrO2 by Xiuli Fu, Feng Jiang, Ruichao Gao, Zhijian Peng

“…In the designed range, varistors with 1.0 mol% ZrO2 presented the maximum nonlinear exponent of 15.9 and lowest leakage current of 110 μA/cm2, but the varistor voltage increased monotonously with the doping amount of ZrO2.…”
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A Comprehensive Probabilistic Framework to Learn Air Data from Surface Pressure Measurements by Ankur Srivastava, Andrew J. Meade

“…SFA is presented as a tool capable of nonlinear statistical inference, uncertainty reduction by fusion of data with physical models of variable fidelity, and sequential experiment design. …”
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Global attractivity of positive periodic solutions for an impulsive delay periodic food limited population model by Jian Song

“…We will consider the following nonlinear impulsive delay differential equation N′(t)=r(t)N(t)((K(t)−N(t−mw))/(K(t)+λ(t)N(t−mw))), a.e. t>0, t≠tk, N(tk+)=(1+bk)N(tk), K=1,2,…, where m is a positive integer, r(t), K(t), λ(t) are positive periodic functions of periodic ω. …”
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