Nonlinear Analysis of Return Time Series Model by Oriented Percolation Dynamic System by Anqi Pei, Jun Wang

“…Fluctuation dynamics of financial price changes is developed and investigated by oriented percolation system; oriented percolation is percolation with a special direction along which the activity can only propagate one way but not the other. Then, nonlinear behaviors of distribution and leverage effect of return time series are studied for the proposed model and the real stock market by comparison. …”
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Bénard Problem for Slightly Compressible Fluids: Existence and Nonlinear Stability in 3D by Arianna Passerini

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On Nonlinear Simulation Methods and Tools for Evaluating the Performance of Ships and Offshore Structures in Waves by Shukui Liu, Apostolos Papanikolaou

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On the Optimum Detection of MIMO-SVD Signals With Strong Nonlinear Distortion Effects at the Transmitter by Joao Goncalves, M. Teresa Nogueira, Daniel Dinis, Joao Guerreiro, Rui Dinis

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Criteria for the asymptotic behaviour of solutions to certain third-order nonlinear differential equations by Adeyanju A.A., Fabelurin O.O., Akinbo G., Aduroja O.O., Ademola A.T., Ogundiran M.O., Ogundare B.S., Adesina O.A.

“…We investigate and provide sufficient criteria for ultimate boundedness of solutions as well as the asymptotic stability of the trivial solution to certain nonlinear differential equation of order three. Using the Lyapunov second method and the Yoshizawa limit point approach, we establish our results. …”
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Global Existence to an Attraction-Repulsion Chemotaxis Model with Fast Diffusion and Nonlinear Source by Yingjie Zhu, Fuzhong Cong

“…More specifically, we investigate the attraction-repulsion chemotaxis model with fast diffusive term and nonlinear source subject to the Neumann boundary conditions. …”
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Existence of nonoscillatory solutions for higher order nonlinear mixed neutral differential equations by Hui Li, Nana Jin, Yu Zhang

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Uniform Decay of Solutions for a Nonlinear Viscoelastic Wave Equation with Boundary Dissipation by Shun-Tang Wu, Hsueh-Fang Chen

“…We consider a nonlinear viscoelastic wave equation , with nonlinear boundary damping in a bounded domain . …”
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Finite-Time Stabilization for p-Norm Stochastic Nonlinear Systems with Output Constraints by Shijun Guan, Liandi Fang

“…This paper investigates the finite-time stability problem of p-norm stochastic nonlinear systems subject to output constraint. To cope with the constraint on system output, a tan-type barrier Lyapunov function (BLF) is constructed. …”
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Efficient data-driven predictive control of nonlinear systems: A review and perspectives by Xiaojie Li, Mingxue Yan, Xuewen Zhang, Minghao Han, Adrian Wing-Keung Law, Xunyuan Yin

“…However, the growing complexity and nonlinearity of modern industrial systems present significant challenges for both first-principles modeling and real-time implementation of typical non-convex optimization associated with conventional MPC designs based on nonlinear models. …”
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Tripled Coincidence Point Theorems for Nonlinear Contractions in Partially Ordered Metric Spaces by Binayak S. Choudhury, Erdal Karapınar, Amaresh Kundu

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Output Feedback Variable Structure Control Design for Uncertain Nonlinear Lipschitz Systems by Jeang-Lin Chang, Tsui-Chou Wu

“…This paper develops a full-order compensator-based output feedback variable structure control law for uncertain nonlinear Lipschitz systems having matched perturbations. …”
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The Existence of Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equations by Yanli Chen, Yongxiang Li

“…We consider the existence of positive solutions for the nonlinear fractional differential equations boundary value problem -D0+αu(t)=f(t,u(t)),   0<t<1,  u(0)=u'(0)=u'(1)=0, where 2<α≤3 is a real number, D0+α is the Riemann-Liouville fractional derivative of order α, and f is a given continuous function. …”
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Numerical approximation for algorithmic tangent moduli for nonlinear viscoelastic model with CSDA method by Xinggui Fan, Jinsheng Xu, Xiong Chen

“…Abstract This work revisits the notion of complex step derivative approximation (CSDA) and presents its use in constitutive model of a class of nonlinear viscoelastic materials. The effectiveness of a CSDA is evaluated by putting it through a series of straightforward examples. …”
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Estimation of High Structural Reliability Involving Nonlinear Dependencies Based on Linear Correlations by Liulin Kong, Heng Li, Bo Zhang, Hanbin Luo

“…Stochastic nonlinear dependencies have been reported extensively between different uncertain parameters or in their time or spatial variance. …”
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PRIMARY RESONANCE OF THE BEARING ROTOR SYSTEM WEAK NONLINEAR ANALYSIS OF A MOTOR by YANG ZhiAn, MENG JiaJia

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Controller Design Based on Echo State Network with Delay Output for Nonlinear System by Xianshuang Yao, Siyuan Fan, Bo Zhao, Shengxian Cao

“…For the nonlinear systems with delay output, the control performance of the system is affected by the previous output of the system, such as crawling robots of photovoltaic panels. …”
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Nonlinear Seismic Response Analysis of Curved and Skewed Bridge System with Spherical Bearings by Junwon Seo, Daniel G. Linzell, Jong Wan Hu

“…A three-dimensional (3D) modeling approach to investigate nonlinear seismic response of a curved and skewed bridge system is proposed. …”
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On the Existence of Ground State Solutions of the Periodic Discrete Coupled Nonlinear Schrödinger Lattice by Meihua Huang, Zhan Zhou

“…We study the existence of ground state solutions of the periodic discrete coupled nonlinear Schrödinger lattice by using the Nehari manifold approach combined with periodic approximations. …”
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Positive Solution for the Nonlinear Hadamard Type Fractional Differential Equation with p-Laplacian by Ya-ling Li, Shi-you Lin

“…We study the following nonlinear fractional differential equation involving the p-Laplacian operator DβφpDαut=ft,ut, 1<t<e, u1=u′1=u′e=0, Dαu1=Dαue=0, where the continuous function f:1,e×0,+∞→[0,+∞), 2<α≤3, 1<β≤2. …”
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