A Novel Optimized Nonlinear Grey Bernoulli Model for Forecasting China’s GDP by Wen-Ze Wu, Tao Zhang, Chengli Zheng

“…The nonlinear grey Bernoulli model, abbreviated as NGBM(1,1), has been successfully applied to control, prediction, and decision-making fields, especially in the prediction of nonlinear small sample time series. …”
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Existence of solutions for generalized nonlinear mixed variational-like inequalities in Banach spaces by Yali Zhao, Zunquan Xia, Zeqing Liu, Shin Min Kang

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Nonlinear Behaviors of Tail Dependence and Cross-Correlation of Financial Time Series Model by Wei Deng, Jun Wang

“…Nonlinear behaviors of tail dependence and cross-correlation of financial time series are reproduced and investigated by stochastic voter dynamic system. …”
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Dynamics of a mechanical system with nonlinear elastic suspension and spectral analysis of the results by V. A. Nekhaev, V. A. Nikolaev, A. N. Smalev, K. O. Seryakov

“…The article considers the dynamics of a nonlinear mechanical system under the action of a kinematic perturbation on it. …”
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Autonomous Jerk Oscillator with Cosine Hyperbolic Nonlinearity: Analysis, FPGA Implementation, and Synchronization by Karthikeyan Rajagopal, Sifeu Takougang Kingni, Gaetan Fautso Kuiate, Victor Kamdoum Tamba, Viet-Thanh Pham

“…A two-parameter autonomous jerk oscillator with a cosine hyperbolic nonlinearity is proposed in this paper. Firstly, the stability of equilibrium points of proposed autonomous jerk oscillator is investigated by analyzing the characteristic equation and the existence of Hopf bifurcation is verified using one of the two parameters as a bifurcation parameter. …”
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Blind identification and digital calibration method of broadband receiver front-end nonlinearity by PENG Jun1, MA Hong1, JIN Jiang, HU Xiao1, PENG Liang1, ZHANG Hui1, GUO Wu-Jun1

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Multivariate Padé Approximation for Solving Nonlinear Partial Differential Equations of Fractional Order by Veyis Turut, Nuran Güzel

“…Two tecHniques were implemented, the Adomian decomposition method (ADM) and multivariate Padé approximation (MPA), for solving nonlinear partial differential equations of fractional order. …”
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Study on Calculation Method of Foundation Nonlinear Settlement Based on In Situ Loading Test by Yong Wen, Guanghua Yang, Zhihui Zhong

“…In this paper, a nonlinear deformation modulus method is proposed for foundation settlement calculation. …”
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Characterization of Contact-Type Defects in Mortar Using a Nonlinear Ultrasonic Method by Zhichao Nie, Kui Wang, Mingjie Zhao, Xiao Sun

“…Second harmonic generation (SHG) is one of the common techniques in the nonlinear ultrasonic test. The contact-type defects play an important role in material damage, which are hard to be detected. …”
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Neural Network L1 Adaptive Control of MIMO Systems with Nonlinear Uncertainty by Hong-tao Zhen, Xiao-hui Qi, Jie Li, Qing-min Tian

“…An indirect adaptive controller is developed for a class of multiple-input multiple-output (MIMO) nonlinear systems with unknown uncertainties. This control system is comprised of an L1 adaptive controller and an auxiliary neural network (NN) compensation controller. …”
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Analysis of the Influence of Excitation Frequency on Nonlinear Dynamics of the Shift Planetary Transmission System by Wu Xiaolong, Du Yaosen, Gao Pengju, Wang Xiaosai

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Solution of the Stochastic Heat Equation with Nonlinear Losses Using Wiener-Hermite Expansion by Mohamed A. El-Beltagy, Noha A. Al-Mulla

“…In the current work, the Wiener-Hermite expansion (WHE) is used to solve the stochastic heat equation with nonlinear losses. WHE is used to deduce the equivalent deterministic system up to third order accuracy. …”
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Application of the Homotopy Perturbation Method to Solve Nonlinear Equations Arising in Oscillatory Systems by Mohammadjavad Mahmoodabadi, Neda Amiri

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Periodic Solutions of Evolution m-Laplacian Equations with a Nonlinear Convection Term by Wenjun Liu

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Nonlinear error modified equalization algorithm in high-order modulation of satellite communication by Cheng-kai TANG, Ling-ling ZHANG, Bao-wang LIAN

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Oscillation for Forced Second-Order Impulsive Nonlinear Dynamic Equations on Time Scales by Mugen Huang, Kunwen Wen

“…In this paper, we study the interval oscillation of a type of forced second-order nonlinear impulsive dynamic equations with changing signs coefficients. …”
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Research on Nanoeffect of Penetration and Consolidation under Nonlinear Characteristics of Saturated Soft Clay by Yu Zhao, Ning Wang, Deying Zhang

“…The effect of the initial permeability coefficient on large deformation consolidation is studied, and the necessity and plausibility of considering the nonlinearity of the compression and permeability coefficient when calculating the soft-land base large deformation consolidation is also studied.…”
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An Improved Nonlinear Settlement Calculation Method for Soft Clay considering Structural Characteristics by Binhui Ma, Zhuo Li, Kai Cai, Zhiyong Hu, Minghua Zhao, Chengbin He, Bingchu Chen, Xiaocheng Huang

“…By introducing the concept of damage ratio, the method for determining the deformation modulus of soil before and after damage under load is presented, and a nonlinear settlement calculation method which considers the structural characteristics of soft clay is proposed. …”
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Combined Nonlinear Analysis of Atrial and Ventricular Series for Automated Screening of Atrial Fibrillation by Juan Ródenas, Manuel García, Raúl Alcaraz, José J. Rieta

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Study on the Nonlinear Vibration Characteristic of Bending-torsional Coupled Single-stage Gear by Rongju Liu, Fuzhong Chen, Yongjun Shi, Yongsheng Zhao

“…Taking spur gear pair as the research object, a 6-DOF coupled bending-torsion nonlinear vibration model including time-varying meshing stiffness, comprehensive error, backlash and input torque is established. …”
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