Magnetoelastic Principal Parametric Resonance of a Rotating Electroconductive Circular Plate by Zhe Li, Yu-da Hu, Jing Li

“…Nonlinear principal parametric resonance and stability are investigated for rotating circular plate subjected to parametric excitation resulting from the time-varying speed in the magnetic field. …”
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A Numerical Method of the Euler-Bernoulli Beam with Optimal Local Kelvin-Voigt Damping by Xin Yu, Zhigang Ren, Qian Zhang, Chao Xu

“…This paper deals with the numerical approximation problem of the optimal control problem governed by the Euler-Bernoulli beam equation with local Kelvin-Voigt damping, which is a nonlinear coefficient control problem with control constraints. …”
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Reduction of Maximum and Residual Drifts on Posttensioned Steel Frames with Semirigid Connections by Arturo López-Barraza, Edén Bojórquez, Sonia E. Ruiz, Alfredo Reyes-Salazar

“…The aim of this paper is to study the seismic performance of self-centering moment-resisting steel frames with posttensioned connections taking into account nonlinear material behavior, for better understanding of the advantages of this type of structural system. …”
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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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Fuzzy Neural Network Applications in Biomass Gasification and Pyrolysis for Biofuel Production: A Review by Vladimir Bukhtoyarov, Vadim Tynchenko, Kirill Bashmur, Oleg Kolenchukov, Vladislav Kukartsev, Ivan Malashin

“…While these processes are effective, they are often influenced by complex, nonlinear, and uncertain factors, making optimization and prediction challenging. …”
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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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Simulation of β-induced Alfvén eigenmode instabilities and mode transition for HL-3 hybrid scenario by Yunpeng Zou, Vincent S Chan, Yasushi Todo, Ruirui Ma, Miao Xue, Xiaoran Zhang, Yiren Zhu, Wei Chen

“…The hybrid scenario is characterized by a flat q -profile in the core due to off-axis electron cyclotron current drive (ECCD). A nonlinear simulation with multiple toroidal mode numbers indicates that the n = 2 β -induced AE (BAE) is excited initially in the linear stage and the n = 1 FB mode has the highest nonlinear saturation level. …”
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