Sieve Method for Polynomial Linear Equivalence by Baocang Wang, Yupu Hu

“…We consider the polynomial linear equivalence (PLE) problem arising from the multivariate public key cryptography, which is defined as to find an invertible linear transformation ℒ satisfying 𝒫=𝒮∘ℒ for given nonlinear polynomial maps 𝒫 and 𝒮 over a finite field 𝔽q. …”
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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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Pole Placement-Based NMPC of Hammerstein Systems and Its Application to Grade Transition Control of Polypropylene by He De-Feng, Yu Li

“…This paper presents a new nonlinear model predictive control (MPC) algorithm for Hammerstein systems subject to constraints on the state, input, and intermediate variable. …”
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Modeling of Flocculation and Sedimentation Using Population Balance Equation by Zhipeng Shi, Genguang Zhang, Yuzhuo Zhang, Tingting He, Guoliang Pei

“…The results showed that flocculation is a dynamic and nonlinear process containing aggregation, breakage, reaggregation, and rebreakage between particles, microflocs, and macroflocs. …”
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Morphological spatial patterns in a reaction diffusion model for metal growth by Benedetto Bozzini, Deborah Lacitignola, Ivonne Sgura

“…In this paper a reaction-diffusion system modelling metal growth processes is considered, to investigate -within the electrodeposition context- the formation of morphological patterns in a finite two-dimensional spatialdomain. Nonlinear dynamics of the system is studied from both the analytical and numerical points of view. …”
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Compensation for Cross-Coupled Dynamics of Dual Twisted-String Actuation Systems by Lei Jiang, Yuejuan Li, Marvin H. Cheng

“…Due to the physical properties of twisted string, the actuator has problems of nonlinear length variation and cross-coupled relationships between two strings. …”
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Approximate Solutions of Fisher's Type Equations with Variable Coefficients by A. H. Bhrawy, M. A. Alghamdi

“…Also the results demonstrate that the proposed method is powerful algorithm for solving the nonlinear partial differential equations.…”
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Approximate Symmetries Analysis and Conservation Laws Corresponding to Perturbed Korteweg–de Vries Equation by Tahir Ayaz, Farhad Ali, Wali Khan Mashwani, Israr Ali Khan, Zabidin Salleh, Ikramullah

“…The Korteweg–de Vries (KdV) equation is a weakly nonlinear third-order differential equation which models and governs the evolution of fixed wave structures. …”
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Family of Bistable Attractors Contained in an Unstable Dissipative Switching System Associated to a SNLF by J. L. Echenausía-Monroy, J. H. García-López, R. Jaimes-Reátegui, D. López-Mancilla, G. Huerta-Cuellar

“…This work presents a multiscroll generator system, which addresses the issue by the implementation of 9-level saturated nonlinear function, SNLF, being modified with a new control parameter that acts as a bifurcation parameter. …”
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An improved blind detection algorithm of chaos Hopfield neural network by Dawei YU, Shaowei CHEN, Shujuan YU

“…In order to improve the flexibility of the activation function of the blind detection algorithm in Hopfield neural network,an activation function with better nonlinear approximation ability near the origin was proposed.For the case where the algorithm trapped in local optima,utilizing the good ergodicity and randomness of chaos mapping,chaos was used to generate the initial sequence at the starting point of the algorithm,and small-amplitude chaotic perturbation was performed when the current global optimum value was constant,so as to reduce the error performance of the algorithm.The simulation results show that the proposed algorithm reduces the sensitivity of neurons to input values,has strong anti-interference ability and fast convergence speed,and improves the blind detection performance.…”
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Observer-Based PID Security Control for Discrete-Time T-S Fuzzy Systems under Distributed Dynamic Event-Triggered Mechanism by Sisi Lin, Mengzhuo Luo, Shouming Zhong, Kaibo Shi, Xingxu Tan

“…This study addresses the observer-based proportional-integral-derivative (PID) security control problem for nonlinear discrete-time fuzzy systems subject to deception attacks. …”
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Numerical Simulation and Shear Capacity Study of a New Double-Steel-Plate Shear Wall by Xiaomeng Zhang, Qingying Ren, Jiaqi Wang, Ziao Liu, Xiao Yang

“…The comparison with the test results verifies the correctness of the finite element analysis. Through nonlinear finite element parameterization analysis, the composition of shear capacity of each composite wall is obtained. …”
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Parameter Estimation for a Class of Lifetime Models by Xinyang Ji, Shunhou Fan, Wei Fan

“…Our purpose in this paper is to present a better method of parametric estimation for a bivariate nonlinear regression model, which takes the performance indicator of rubber aging as the dependent variable and time and temperature as the independent variables. …”
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Experimental Closed-Loop Control of Breast Cancer in Mice by Levente Kovács, Bence Czakó, Máté Siket, Tamás Ferenci, András Füredi, Balázs Gombos, Gergely Szakács, Dániel András Drexler

“…The controller consists of a nonlinear model predictive controller which uses the state estimation of a moving horizon estimator. …”
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Spectral optimization of supercontinuum shaping using metaheuristic algorithms, a comparative study by Mathilde Hary, Teemu Koivisto, Sara Lukasik, John M. Dudley, Goëry Genty

“…Abstract Supercontinuum generation in optical fiber involves complex nonlinear dynamics, making optimization challenging, and typically relying on trial-and-error or extensive numerical simulations. …”
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Pulse Width Modulation Control of Mecanum-Wheeled Mobile Robot With Random Noise by Ruijie Yin, Zhaojing Wu, Likang Feng

“…As a preliminary, PWM strategy of random nonlinear systems is obtained by the aid of the functional analysis tool. …”
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On a clock-controlled keystream generator and its cryptographic properties by MA Wei-ju1, FENG Deng-guo1

“…A new clock-controlled keystream generator was proposed,which was composed of three shift registers: two clock-controlled linear feedback shift registers A,B,and one clock-controlling nonlinear feedback shift register C.Let l1,l2 and l3 denote the length of A,B and C,respectively.The clock-control information is from two bit strings of feedback shift register C,and the times A and B shift are according to the Hamming weights of the two strings,respectively.The period,the linear complexity and the k error linear complexity of the keystream generator are studied,and its security was analyzed.…”
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Synchronous Modification Design for Bilateral Tooth Surface of Spiral Bevel Gear by Dual Duplex Spread Blade Method by Jianjun Yang, Xinfang Hu, Hua Zhang, Shaowu Nie

“…The mathematical model and constraint function of the target tooth surface errors based on the optimization of machining tool setting are constructed. The nonlinear constrained optimization function is used to derive the machining parameters of the gear. …”
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Elastoplastic Analysis of Circular Tunnel Based on Drucker–Prager Criterion by Xiongfei Yang, Hong Yuan, Jiayu Wu, Shanqing Li

“…The piecewise linearization of the nonlinear yield function is used to analyze the elastoplastic solution of the cylindrical hole shrinkage. …”
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Anisotropic Bulk Viscous String Cosmological Model in a Scalar-Tensor Theory of Gravitation by D. R. K. Reddy, Ch. Purnachandra Rao, T. Vidyasagar, R. Bhuvana Vijaya

“…Exact solution of the highly nonlinear field equations is obtained using the following plausible physical conditions: (i) scalar expansion of the space-time which is proportional to the shear scalar, (ii) the barotropic equations of state for pressure and energy density, and (iii) a special law of variation for Hubble’s parameter proposed by Berman (1983). …”
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