Theoretical and Numerical Analysis of Coupled Axial-Torsional Nonlinear Vibration of Drill Strings by Xinye Li, Tao Yu, Lijuan Zhang, Hao Zeng, Congcong Duan

“…Based on a lumped parameter model with two degrees of freedom, the periodic response of the coupled axial-torsional nonlinear vibration of drill strings is studied by HB-AFT (harmonic balance and alternating frequency/time domain) method and numerical simulations. …”
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Exploring the nonlinear coded superposed modulation MISO visible light communication system by Zengyi XU, Wenqing NIU, Hui CHEN, Zhixue HE, Nan CHI

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Analysis on Forced Vibration of Thin-Wall Cylindrical Shell with Nonlinear Boundary Condition by Qiansheng Tang, Chaofeng Li, Bangchun Wen

“…Forced vibration of thin-wall cylindrical shell under nonlinear boundary condition was discussed in this paper. …”
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A Novel Method for Solving Nonlinear Volterra Integro-Differential Equation Systems by Mohammad Hossein Daliri Birjandi, Jafar Saberi-Nadjafi, Asghar Ghorbani

“…An efficient iteration method is introduced and used for solving a type of system of nonlinear Volterra integro-differential equations. …”
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Some New Generalized Retarded Gronwall-Like Inequalities and Their Applications in Nonlinear Systems by Haiyong Qin, Xin Zuo, Jianwei Liu

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Nonlinear Dynamics of Helicopter Planetary Gear-rotor System Caused by Stiffness Variation by Lanlan Hou, Mingqiang Li, Guosheng Wang, Lingyun Lai, Hao Chen, Yuping Huang

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Nonlinear Dynamics in the Solow Model with Bounded Population Growth and Time-to-Build Technology by Luca Guerrini, Mauro Sodini

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Existence of periodic solutions and homoclinic orbits for third-order nonlinear differential equations by O. Rabiei Motlagh, Z. Afsharnezhad

“…We give some conditions for this equation in order to reduce it to a second-order nonlinear differential equation. We show that the existence of periodic solutions for the second-order equation implies the existence of periodic solutions for the above equation. …”
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The Equivalent Linearization Method with a Weighted Averaging for Solving Undamped Nonlinear Oscillators by D. V. Hieu, N. Q. Hai, D. T. Hung

“…The obtained results demonstrate that this method is very convenient for solving nonlinear equations and also can be successfully applied to a lot of practical engineering and physical problems.…”
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Standing Wave Solutions for the Discrete Coupled Nonlinear Schrödinger Equations with Unbounded Potentials by Meihua Huang, Zhan Zhou

“…We demonstrate the existence of standing wave solutions of the discrete coupled nonlinear Schrödinger equations with unbounded potentials by using the Nehari manifold approach and the compact embedding theorem. …”
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Optimal Algorithms and the BFGS Updating Techniques for Solving Unconstrained Nonlinear Minimization Problems by Chein-Shan Liu

“…To solve an unconstrained nonlinear minimization problem, we propose an optimal algorithm (OA) as well as a globally optimal algorithm (GOA), by deflecting the gradient direction to the best descent direction at each iteration step, and with an optimal parameter being derived explicitly. …”
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Oscillation Criteria of Third-Order Nonlinear Damped Dynamic Equations on Time Scales by Yang-Cong Qiu

“…We establish oscillation criteria of third-order nonlinear damped dynamic equations on time scales of the form r1tr2txΔtγΔΔ+ft, xt,xσt, xgt, xΔt=0 by employing functions in some function classes and the generalized Riccati transformation. …”
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Tikhonov Regularized Variable Projection Algorithms for Separable Nonlinear Least Squares Problems by Zhengqing Fu, Lanlan Guo

“…This paper considers the classical separable nonlinear least squares problem. Such problems can be expressed as a linear combination of nonlinear functions, and both linear and nonlinear parameters are to be estimated. …”
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Adaptive Optimal Terminal Sliding Mode Control for T-S Fuzzy-Based Nonlinear Systems by Farzad Soltanian, Amir Parviz Valadbeigi, Jafar Tavoosi, Rahmat Aazami, Mokhtar Shasadeghi, Mohammadamin Shirkhani, Amirreza Azizi

“…This study utilizes the Takagi–Sugeno fuzzy model to represent a subset of nonlinear systems and presents an innovative adaptive approach for optimal dynamic terminal sliding mode control (TSMC). …”
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Attribute Selection Impact on Linear and Nonlinear Regression Models for Crop Yield Prediction by Alberto Gonzalez-Sanchez, Juan Frausto-Solis, Waldo Ojeda-Bustamante

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Forecasting particulate matter concentration using nonlinear autoregression with exogenous input model by M.I. Rumaling, F.P. Chee, H.W.J. Chang, C.M. Payus, S.K. Kong, J. Dayou, J. Sentian

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Method of semidiscretization in time to nonlinear retarded differential equations with nonlocal history conditions by S. Agarwal, D. Bahuguna

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Rapid convergence of approximate solutions for first order nonlinear boundary value problems by Alberto Cabada, Juan J. Nieto, Seppo Heikkilä

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On a New Three-Step Class of Methods and Its Acceleration for Nonlinear Equations by T. Lotfi, K. Mahdiani, Z. Noori, F. Khaksar Haghani, S. Shateyi

“…A class of derivative-free methods without memory for approximating a simple zero of a nonlinear equation is presented. The proposed class uses four function evaluations per iteration with convergence order eight. …”
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Investigating nonlinear dynamic properties of an inertial sensor with rotational velocity-dependent rigidity by Mina Ghanbari, Mohammad Fathalilou, Hamed Haddad Khodaparast, Ghader Rezazadeh

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