Heralded interconversion between hyperentangled W state and hyperentangled KLM state assisted by nitrogen vacancy centers coupled with microresonators by Fang-Fang Du, Ming Ma, Qiu-lin Tan

“…The fidelities of these conversion processes are robust and their efficiencies are also high due to fewer nonlinear interactions and errors heralded by the response of detectors, which intensify comprehending the properties of hyperentanglement.…”
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Active Disturbance Rejection Fuzzy Controller for Roll Stabilization of Autonomous Underwater Vehicle under Wave Disturbance by Lin-Lin Wang, Hong-Jian Wang, Li-Xin Pan, Jun-Xi Guo

“…Active disturbance rejection fuzzy control is applied, which is based on nonlinear motion model of autonomous underwater vehicle and the principle of zero-speed fin stabilizer. …”
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Quantitative Analysis of the Topological Structure of Rock Pore Network by Dayu Ye, Guannan Liu, Ning Luo, Feng Gao, Xinmin Zhu, Fengtian Yue

“…As the most significant nonlinear reservoir, the rocks have complex structural characteristic. …”
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Continuum flow model of MHD Casson nanofluid over a rotating disk with multiple slips by Khuram Rafique, Aisha M. Alqahtani, Ayesha Rehman, Najla A. Mohammed, Ilyas Khan

“…The governing flow equations are transformed into nonlinear ODE's by adopting suitable similarity transformations. …”
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Compound Autoregressive Network for Prediction of Multivariate Time Series by Yuting Bai, Xuebo Jin, Xiaoyi Wang, Tingli Su, Jianlei Kong, Yutian Lu

“…The prediction information has effects on the emergency prevention and advanced control in various complex systems. There are obvious nonlinear, nonstationary, and complicated characteristics in the time series. …”
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Damping Energy Dissipation and Parameter Identification of the Bellows Structure Covered with Elastic-Porous Metal Rubber by Guojian Shen, Min Li, Xin Xue

“…Second, the conspicuous hysteresis loop characteristics were described while the nonlinear constitutive relation was analytically modelled based on the exact decomposition method. …”
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The Plastic Glial-Synaptic Dynamics within the Neuropil: A Self-Organizing System Composed of Polyelectrolytes in Phase Transition by Vera Maura Fernandes de Lima, Alfredo Pereira

“…We review experimental results addressing plastic nonlinear interactions between glial membranes and synaptic terminals. …”
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The Multivariate Fusion Distribution Characteristics in Physician Demand Prediction by Jiazhen Zhang, Wei Chen, Xiulai Wang

“…By combining variational autoencoders and LSTM units, the model can effectively capture complex nonlinear relationships and long-term dependencies, and the multi-head attention mechanism overcomes the limitations of traditional algorithms. …”
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First and Second Integrals of Hopf–Langford-Type Systems by Vassil M. Vassilev, Svetoslav G. Nikolov

“…The work examines a seven-parameter, three-dimensional, autonomous, cubic nonlinear differential system. This system extends and generalizes the previously studied quadratic nonlinear Hopf–Langford-type systems. …”
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Positive solutions of three-point boundary value problems for higher-order p-Laplacian with infinitely many singularities by Fuyi Xu, Yonghong Wu, Lishan Liu, Yunming Zhou

“…We study a three-point nonlinear boundary value problem with higher-order p-Laplacian. …”
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Approximate Analytical Solutions of the Fractional-Order Brusselator System Using the Polynomial Least Squares Method by Constantin Bota, Bogdan Căruntu

“…PLSM allows us to compute approximate analytical solutions for the Brusselator system, which is a fractional-order system of nonlinear differential equations.…”
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Error estimates for the finite element solutions of variational inequalities by M. Aslam Noor

“…For piecewise linear approximation of variational inequalities associated with the mildly nonlinear elliptic boundary value problems having auxiliary constraint conditions, we prove that the error estimate for u−uh in the W1,2-norm is of order h.…”
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A Note on the Semi-Inverse Method and a Variational Principle for the Generalized KdV-mKdV Equation by Li Yao, Yun-Jie Yang, Xing-Wei Zhou

“…This note reveals that the semi-inverse method also works for a generalized KdV-mKdV equation with nonlinear terms of any orders.…”
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A Liouville Type Result for Schrödinger Equation on Half-Spaces by Baiyu Liu

“…We consider a nonlinear Schrödinger equation with a singular potential on half spaces. …”
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Design of Ice Tolerance Flight Envelope Protection Control System for UAV Based on LSTM Neural Network for Detecting Icing Severity by Ting Yue, Xianlong Wang, Bo Wang, Shang Tai, Hailiang Liu, Lixin Wang, Feihong Jiang

“…Finally, the ice tolerance flight envelope protection control law is developed, using a nonlinear dynamic inverse controller (NDIC) as the inner loop and a nonlinear model predictive controller (NMPC) as the outer loop. …”
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Main Factors Influencing Winter Visibility at the Xinjin Flight College of the Civil Aviation Flight University of China by Jing Zhang, Pengguo Zhao, Xiuting Wang, Jie Zhang, Jia Liu, Bolan Li, Yunjun Zhou, Hao Wang

“…Visibility had a higher nonlinear correlation with PM2.5 concentration, relative humidity, and dew point depression. …”
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Three Solutions for Inequalities Dirichlet Problem Driven by p(x)-Laplacian-Like by Zhou Qing-Mei, Ge Bin

“…A class of nonlinear elliptic problems driven by p(x)-Laplacian-like with a nonsmooth locally Lipschitz potential was considered. …”
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Quasilinear Stochastic Cauchy Problem in Abstract Colombeau Spaces by Irina V. Melnikova, Uljana A. Alekseeva

“…Generalized solutions to the abstract Cauchy problem for a quasilinear equation with the generator of an integrated semigroup and with terms reflecting nonlinear perturbations and white noise type perturbations are under consideration. …”
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Nonoscillation theorems for functional differential equations of arbitrary order by John R. Graef, Myron K. Grammatikopoulos, Yuichi Kitamura, Takasi Kusano, Hiroshi Onose, Paul W. Spikes

“…The authors give sufficient conditions for all oscillatory solutions of a sublinear forced higher order nonlinear functional differential equation to converge to zero. …”
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Three-Point Boundary Value Problems for Conformable Fractional Differential Equations by H. Batarfi, Jorge Losada, Juan J. Nieto, W. Shammakh

“…We first obtain Green's function for the linear problem and then we study the nonlinear differential equation.…”
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