The Effects of Activation Energy and Thermophoretic Diffusion of Nanoparticles on Steady Micropolar Fluid along with Brownian Motion by Zulqurnain Sabir, Assad Ayub, Juan L. G. Guirao, Saira Bhatti, Syed Zahir Hussain Shah

“…The detail of geometry reveals the effects of several parameters on the parts of the system. The nonlinear partial differential equations are converted into nonlinear ordinary differential equations, and a famous shooting scheme is used to present the numerical solutions. …”
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Variation of Pore Water Pressure in Tailing Sand under Dynamic Loading by Jia-xu Jin, Hong-zhi Cui, Li Liang, Shi-wang Li, Ping-yi Zhang

“…A complementary multivariate nonlinear equation was also derived for predicting the tailing pore water pressure under dynamic loading.…”
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A Cumulative Rainfall Function for Subhourly Design Storm in Mediterranean Urban Areas by Marco Carbone, Michele Turco, Giuseppe Brunetti, Patrizia Piro

“…The proposed function has been assessed against the storms selected from 5-year rainfall time series with a 1-minute resolution, measured by three meteorological stations located in Calabria, Italy. In particular, a nonlinear least square optimization has been used to identify parameters. …”
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Gas-Water Flow Behavior in Water-Bearing Tight Gas Reservoirs by Renyi Cao, Liyou Ye, Qihong Lei, Xinhua Chen, Y. Zee Ma, Xiao Huang

“…Therefore, a reasonable drawdown pressure should be set to minimize the damage of nonlinear factors to gas recovery.…”
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Influence of soil structure interaction on the 4th story building by Kurniawandy Alex, Dayu Tiara Cindy, Aryanti Riza, Aminsyah Muhammad

“…The maximum displacement increases by 29% in the X direction and 24% in Y. Nonlinear pushover analysis results in an increase in the performance point value of structure with SSI modeling.…”
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Analysis of a No Equilibrium Linear Resistive-Capacitive-Inductance Shunted Junction Model, Dynamics, Synchronization, and Application to Digital Cryptography in Its Fractional-Ord... by Sifeu Takougang Kingni, Gaetan Fautso Kuiate, Romanic Kengne, Robert Tchitnga, Paul Woafo

“…A linear resistive-capacitive-inductance shunted junction (LRCLSJ) model obtained by replacing the nonlinear piecewise resistance of a nonlinear resistive-capacitive-inductance shunted junction (NRCLSJ) model by a linear resistance is analyzed in this paper. …”
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Research on Fault Feature Extraction Method of Rolling Bearing Based on NMD and Wavelet Threshold Denoising by Maohua Xiao, Kai Wen, Cunyi Zhang, Xiao Zhao, Weihua Wei, Dan Wu

“…As it is difficult to extract the fault characteristic frequency caused by nonlinear and nonstationary features of the rolling bearing fault signal, this paper presents a fault feature extraction method of rolling bearing based on nonlinear mode decomposition (NMD) and wavelet threshold denoised method. …”
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A New Variable Exponential Power Reaching Law of Complementary Terminal Sliding Mode Control by Feng Xu, Na An, Jianlin Mao, Shubo Yang

“…In this article, a new nonlinear algorithm based on the sliding mode control is developed for the ball and plate control system to improve dynamic response and steady-state tracking accuracy of the control system. …”
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Coping with Complexity When Predicting Surface Roughness in Milling Processes: Hybrid Incremental Model with Optimal Parametrization by Gerardo Beruvides, Fernando Castaño, Rodolfo E. Haber, Ramón Quiza, Alberto Villalonga

“…The complexity of machining processes relies on the inherent physical mechanisms governing these processes including nonlinear, emergent, and time-variant behavior. The measurement of surface roughness is a critical step done offline by expensive quality control procedures. …”
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LPI Optimization Framework for Target Tracking in Radar Network Architectures Using Information-Theoretic Criteria by Chenguang Shi, Fei Wang, Mathini Sellathurai, Jianjiang Zhou

“…The resulting nonconvex and nonlinear LPI optimization problems associated with different information-theoretic criteria are cast under a unified framework, and the nonlinear programming based genetic algorithm (NPGA) is used to tackle the optimization problems in the framework. …”
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Suppression of Complex Hysteretic Resonances in Varying Compliance Vibration of a Ball Bearing by Zhiyong Zhang, Thomas Sattel, Aditya Suryadi Tan, Xiaoting Rui, Shaopu Yang, Rui Yang, Yongheng Ying, Xuan Li

“…Moreover, the linearized dynamic bearing stiffness of the system will be presented for assessing the locations of VC resonances, and the nonlinear characteristics of bearing stiffness will also be discussed in depth. …”
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Interconnected Microgrids Load‐Frequency Control Using Stage‐by‐Stage Optimized TIDA+1 Error Signal Regulator by Hossein Shayeghi, Alireza Rahnama, Nicu Bizon, Antoni Szumny

“…The controller parameters are optimized using a modified particle swarm optimization (PSO) algorithm with nonlinear time‐varying acceleration coefficients (NTVAC). …”
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Opportunities for gas-phase science at short-wavelength free-electron lasers with undulator-based polarization control by Markus Ilchen, Enrico Allaria, Primož Rebernik Ribič, Heinz-Dieter Nuhn, Alberto Lutman, Evgeny Schneidmiller, Markus Tischer, Mikail Yurkov, Marco Calvi, Eduard Prat, Sven Reiche, Thomas Schmidt, Gianluca Aldo Geloni, Suren Karabekyan, Jiawei Yan, Svitozar Serkez, Zhangfeng Gao, Bangjie Deng, Chao Feng, Haixiao Deng, Wolfram Helml, Lars Funke, Mats Larsson, Vitali Zhaunerchyk, Michael Meyer, Tommaso Mazza, Till Jahnke, Reinhard Dörner, Francesca Calegari, Olga Smirnova, Caterina Vozzi, Giovanni De Ninno, Jonas Wätzel, Jamal Berakdar, Sadia Bari, Lucas Schwob, Jérémy R. Rouxel, Shaul Mukamel, Klaus Bartschat, Kathryn Hamilton, Luca Argenti, Nicolas Douguet, Nikolay M. Novikovskiy, Philipp V. Demekhin, Peter Walter

“…Their revolutionary and innovative developments have opened new fields of science regarding nonlinear light-matter interaction, the investigation of ultrafast processes from specific observer sites, and approaches to imaging matter with atomic resolution. …”
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Switch Reluctance Motor Control Based on Fuzzy Logic System by S. V. Aleksandrovsky, Yu. N. Petrenko

“…However, the SRM has the disadvantage of nonlinear characteristic and control. It is suggested to use controller based on fuzzy logic system. …”
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Karhunen-Loève Expansion for the Second Order Detrended Brownian Motion by Yongchun Zhou, Xiaohui Ai, Minghao Lv, Boping Tian

“…Based on the norm in the Hilbert Space L2[0,1], the second order detrended Brownian motion is defined as the orthogonal component of projection of the standard Brownian motion into the space spanned by nonlinear function subspace. Karhunen-Loève expansion for this process is obtained together with the relationship of that of a generalized Brownian bridge. …”
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Solving Fuzzy Volterra Integrodifferential Equations of Fractional Order by Bernoulli Wavelet Method by R. Mastani Shabestari, R. Ezzati, T. Allahviranloo

“…Using the collocation points, this method transforms the fuzzy fractional integrodifferential equation to a matrix equation which corresponds to a system of nonlinear algebraic equations with unknown coefficients. …”
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Leighton–Wintner type oscillation criteria for second-order differential equations with $p(t)$-Laplacian by Kōdai Fujimoto, Masakazu Onitsuka

“…This paper deals with the oscillation problems for nonlinear differential equations of the form $(r(t)|x'|^{p(t)-2}x')'+c(t)f(x)=0$ involving $p(t)$-Laplacian. …”
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Triple Positive Solutions of a Nonlocal Boundary Value Problem for Singular Differential Equations with p-Laplacian by Jufang Wang, Changlong Yu, Yanping Guo

“…We establish the existence of triple positive solutions of an m-point boundary value problem for the nonlinear singular second-order differential equations of mixed type with a p-Laplacian operator by Leggett-William fixed point theorem. …”
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Higher-Order Equations of the KdV Type are Integrable by V. Marinakis

“…We show that a nonlinear equation that represents third-order approximation of long wavelength, small amplitude waves of inviscid and incompressible fluids is integrable for a particular choice of its parameters, since in this case it is equivalent with an integrable equation which has recently appeared in the literature. …”
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Exact Null Controllability for Fractional Nonlocal Integrodifferential Equations via Implicit Evolution System by Amar Debbouche, Dumitru Baleanu

“…We introduce a new concept called implicit evolution system to establish the existence results of mild and strong solutions of a class of fractional nonlocal nonlinear integrodifferential system, then we prove the exact null controllability result of a class of fractional evolution nonlocal integrodifferential control system in Banach space. …”
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