Integral Sliding Mode and Integral Supertwisting Sliding Mode Control for Ship Course-Keeping by Muhammad Munir Butt, Azhar Iqbal Kashif Butt, Iftikhar Ahmad

“…This paper proposes variable structure-based nonlinear control algorithms, including synergetic, terminal synergetic, integral sliding mode, and integral supertwisting sliding mode controllers, for ship course-keeping. …”
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Line Spectrum Chaotification on QZS Systems with Time-Delay Control by Jing Zhang, Tao Tang, Wenhua Fang

“…Thus, an isolation raft system based on quasi-zero-stiffness (QZS) property is proposed for line spectrum chaotification. A nonlinear time-delay controller is derived accordingly. …”
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Sidelobe Reduction in the Pulse-Compression Radar Using Synthesis of NLFM Laws by Iulian-Constantin Vizitiu

“…It is well known that in the pulse-compression radar theory, the sidelobe reduction using synthesis of some proper nonlinear FM (NLFM) laws represents a major research direction. …”
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Theoretical analysis and model simulation of ADEF linearization technique for RF power amplifier unit by CHEN Chun-yu, LIN Mao-liu, XU Hong-guang

“…An adaptive double envelope feedback linearizer based on above theory is adopted to compensate the nonlinear characteristic of RF power amplifier unit. …”
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Nonexistence of Homoclinic Orbits for a Class of Hamiltonian Systems by Xiaoyan Lin, Qi-Ming Zhang, X. H. Tang

“…We give several sufficient conditions under which the first-order nonlinear Hamiltonian system x'(t)=α(t)x(t)+f(t,y(t)),  y'(t)=-g(t,x(t))-α(t)y(t) has no solution (x(t),y(t)) satisfying condition 0<∫-∞+∞[|x(t)|ν+(1+β(t))|y(t)|μ]dt<+∞‍, where μ,ν>1 and (1/μ)+(1/ν)=1, 0≤xf(t,x)≤β(t)|x|μ, xg(t,x)≤γ0(t)|x|ν, β(t),γ0(t)≥0, and α(t) are locally Lebesgue integrable real-valued functions defined on ℝ.…”
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Identification of Mechanical Properties of Fiber-Reinforced Composites by R.A. Kayumov, S.A. Lukankin, V.N. Paimushin, S.A. Kholmogorov

“…Techniques are developed for identification of the mechanical properties of fiber-reinforced composites according to the results of tests on tension, compression, and bending. The case of nonlinear elastic material is considered. To approximate the tension-to-bending ratios, a multimodule dependency of stress on deformations is accepted. …”
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Parameter Extraction of Solar Photovoltaic Modules Using Gravitational Search Algorithm by R. Sarjila, K. Ravi, J. Belwin Edward, K. Sathish Kumar, Avagaddi Prasad

“…Parameter extraction of a solar photovoltaic system is a nonlinear problem. Many optimization algorithms are implemented for this purpose, which failed in giving better results at low irradiance levels. …”
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Transient Interaction of a Spherical Shell with an Underwater Explosion Shock Wave and Subsequent Pulsating Bubble by H. Huang, K.C. Kiddy

“…The nonlinear interaction problem is analyzed by simultaneously solving the mass, momentum, and energy conservation equations together .with appropriate material constitutive equations governing the fluid dynamics of the explosion gaseous product and the water and the structural dynamics of the compliant shell. …”
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The Flow Separation of Peristaltic Transport for Maxwell Fluid between Two Coaxial Tubes by S. Z. A. Husseny, Y. Abd elmaboud, Kh. S. Mekheimer

“…The system of the governing nonlinear PDE is solved by using the perturbation method to the first order in dimensionless wavenumber. …”
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Maximum likelihood self-calibration for direction-dependent gain-phase errors with carry-on instrumental sensors:case of deterministic signal model by WANG Ding1, PAN Miao2, WU Ying1

“…Aim at the self-calibration of direction-dependent gain-phase errors in case of deterministic signal model,the maximum likelihood method（MLM） for calibrating the direction-dependent gain-phase errors with carry-on instrumental sensors was presented.In order to maximize the high-dimensional nonlinear cost function appearing in the MLM,an improved alternative projection iteration algorithm,which could optimize the azimuths and direction-dependent gain-phase errors was proposed.The closed-form expressions of the Cramér-Rao bound（CRB） for azimuths and gain-phase errors were derived.Simulation experiments show the effectiveness and advantage of the novel method.…”
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Axisymmetric Natural Frequencies of Statically Loaded Annular Plates by Eihab M. Abdel-Rahman, Waleed F. Faris, Ali H. Nayfeh

“…We use the von Kármán nonlinear plate model to account for large deformations and study the effect of static deflections on the natural frequencies and mode shapes for six combinations of boundary conditions. …”
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Real-Time Ship Motion Prediction Based on Time Delay Wavelet Neural Network by Wenjun Zhang, Zhengjiang Liu

“…A wavelet neural network with time delay is proposed based on nonlinear autoregressive model with exogenous inputs (NARMAX) model, and the sensitivity method is applied in the selection of network inputs. …”
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FE Simulation of Transmission Tower by Boshra Eltaly, Amen Saka, Kamel Kandil

“…The current research describes nonlinear FE models of predicting the transmission tower failure. …”
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MATHEMATICAL MODELLING OF THE UNMANNED AERIAL VEHICLE DYNAMICS by V. Y. Stepanov

“…Further, the UAV is considered in more detail from the point of view of its flight dynamics analysis, the equation necessary for creating a mathematical model, as well as the model of an ordinary dynamic system as a non-stationary nonlinear controlled object, is given. Next, a description of the developed software for modeling and a description of program algorithm are given. …”
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On Dimension Extension of a Class of Iterative Equations by Juan Su, Xinhan Dong

“…This investigation aims at studying some special properties (convergence, polynomial preservation order, and orthogonal symmetry) of a class of r-dimension iterative equations, whose state variables are described by the following nonlinear iterative equation: ϕn(x)=T(ϕn−1(x)):=∑j=0mHjϕn−1(2x−k). …”
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Positive Definite Solutions of the Matrix Equation Xr-∑i=1mAi∗X-δiAi=I by Asmaa M. Al-Dubiban

“…We investigate the nonlinear matrix equation Xr-∑i=1mAi∗X-δiAi=I, where r is a positive integer and δi∈(0,1], for i=1,2,…,m. …”
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Implementation of a damage model in a finite element program for computation of structures under dynamic loading by Nasserdine Oudni, Youcef Bouafia

“…This work is a numerical simulation of nonlinear problems of the damage process and fracture of quasi-brittle materials especially concrete. …”
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Behavior of a Free Dual-Spin Gyrostat with Different Ratios of Inertia Moments by Vladimir Aslanov

“…The dynamics of free gyrostats with zero internal torque is considered. The dimensionless nonlinear equations of the gyrostat are written in Serret-Andoyer canonical variables. …”
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Coupled and Tripled Coincidence Point Results with Application to Fredholm Integral Equations by Marwan Amin Kutbi, Nawab Hussain, Jamal Rezaei Roshan, Vahid Parvaneh

“…We also present an example as well as an application to nonlinear Fredholm integral equations in order to illustrate the effectiveness of our results.…”
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Upscaling Strategies of Porosity-Permeability Correlations in Reacting Environments from Pore-Scale Simulations by Nikolaos I. Prasianakis, Michael Gatschet, Aida Abbasi, Sergey V. Churakov

“…Such correlations follow a nonlinear trend, which is difficult to estimate a priori and without knowledge of the microstructure itself, especially under the presence of strong chemical gradients. …”
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