Velocity Control for Coning Motion Missile System Using Direct Discretization Method by Rui-sheng Sun, Chao Ming

“…By using a direct discretization method to transform the optimal control problem into a nonlinear dynamic programming problem, the optimal trajectory and velocity profile are obtained to satisfy the design index requirement. …”
Get full text

The General Traveling Wave Solutions of the Fisher Equation with Degree Three by Wenjun Yuan, Qiuhui Chen, Jianming Qi, Yezhou Li

“…Our results show that the complex method provides a powerful mathematical tool for solving a large number of nonlinear partial differential equations in mathematical physics.…”
Get full text

The Multistage Homotopy Perturbation Method for Solving Chaotic and Hyperchaotic Lü System by M. S. H. Chowdhury, Nur Isnida Razali, Waqar Asrar, M. M. Rahman

“…The multistage homotopy-perturbation method (MHPM) is applied to the nonlinear chaotic and hyperchaotic Lü systems. MHPM is a technique adapted from the standard homotopy-perturbation method (HPM) where the HPM is treated as an algorithm in a sequence of time intervals. …”
Get full text

ROLLING BEARING WEAK FAULT FEATURE EXTRACTION BASED ON MULTIPOINT OPTIMAL MINIMUM ENTROY DECONVOLUTION ADJUSTED AND ADAPTIVE STOCHASTIC RESONANCE WITH CUCKOO SEARCH by QUAN ZhenYa, ZHANG XueLiang

“…Adjusting the value of nonlinear system parameters will affect the output Signal-to-Noise Ratio（ SNR）,so Signalto-Noise Ratio（ SNR） was used as the output evaluation index of stochastic resonance. …”
Get full text

Two Optimal Eighth-Order Derivative-Free Classes of Iterative Methods by F. Soleymani, S. Shateyi

“…Due to this, the main aim of this paper is to attain as high as possible of local convergence order by using fixed number of (functional) evaluations to find efficient solvers for one-variable nonlinear equations, while the procedure to achieve this goal is totally free from derivative. …”
Get full text

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. …”
Get full text

Finite-Time Synchronization for Complex-Valued Recurrent Neural Networks with Time Delays by Ziye Zhang, Xiaoping Liu, Chong Lin, Bing Chen

“…To achieve our aim, a nonlinear delayed controller with two independent parameters different from the existing ones is provided, which leads to great difficulty. …”
Get full text

Gust Load Alleviation with Robust Control for a Flexible Wing by Xiang Liu, Qin Sun

“…To accurately describe the aeroelastic model over a large flight envelope, a nonlinear parameter-varying model is developed which is a function of both Mach number and dynamic pressure. …”
Get full text

Cournot–Bertrand Duopoly Model: Dynamic Analysis Based on a Computed Cost by S. S. Askar, Ahmed M. Alshamrani

“…In this paper, some mathematical properties and dynamic investigations of a Cournot–Bertrand duopoly game using a computed nonlinear cost are studied. The game is repeated and its evolution is presented by noninvertible map. …”
Get full text

Nanoscale nonlocal thermal transport and thermal field emission in high-current resonant tunnel structures by Michael V. Davidovich, Igor S. Nefedov, Olga E. Glukhova, J. Miguel Rubi

“…Abstract We present a nonlinear model of thermal field emission in resonant tunneling nanostructures with multiple barriers and potential wells, based on an accurate determination of the quantum potential shape and a rigorous solution of the Schrödinger equation, while considering thermal balance. …”
Get full text

The Dynamic Effect of Unemployment Rate and Crime Rate on Suicide Rate under Economic Growth Rate by Ssu-Han Chen, Tzu-Yi Yang, Yu-Tai Yang, Chiu-Yen Wang

“…Statistical results indicated that unemployment rate and crime rate had dynamic effects on suicide rate and that nonlinear relationships existed among them. In addition, depending on the fluctuation of dynamic value, the rise or fall of suicide rate had an asymmetrical influence on the value of unemployment rate and crime rate. …”
Get full text

STUDY ON DYNAMIC STABILITY AND BIFURCATION OF THE ROD-FASTENING ROTOR SYSTEM by HEI Di, ZHENG MeiRu

“…The contact effect is equivalent to a bending resistance spring with nonlinear stiffness when the modal of rod-fastening rotor is established. …”
Get full text

Analysis of Coupling Characteristic of the Planetary Multi-stage Gear Transmission System by Wang Xin, Li Yousheng

“…Contrasted the bifurcation characteristics of the two-stage fixed-axis gear,the planetary gear transmission system and the planetary multi-stage gear transmission system to study the nonlinear coupling characteristics of the multi-stage gear system. …”
Get full text

Bundle Pricing Decisions for Fresh Products with Quality Deterioration by Yan Fang, Yiping Jiang, Xingxing Han

“…The value of fresh products with quality deterioration is approximated as an exponential function based on which customer’s reservation prices are calculated. A nonlinear mixed integer programming model is used to formulate the bundle pricing problem for fresh products. …”
Get full text

A Numerical Solution for Hirota-Satsuma Coupled KdV Equation by M. S. Ismail, H. A. Ashi

“…Newton’s method is used to solve the block nonlinear pentadiagonal system we have obtained. The resulting schemes are of second order accuracy in both directions, space and time. …”
Get full text

On the global well-posedness and exponential stability of 3D heat conducting incompressible Navier-Stokes equations with temperature-dependent coefficients and vacuum by Jianxia He, Qingyan Li

Get full text

Compressive Strength Prediction of Self-Compacting Concrete-A Bat Optimization Algorithm Based ANNs by Amir Andalib, Babak Aminnejad, Alireza Lork

“…This article examines the feasibility of using bat-trained artificial neural networks (ANNs) to predict the compressive strength of self-compacting concrete (SCC). The nonlinear behavior of SCC challenges traditional modeling techniques. …”
Get full text

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. …”
Get full text

Unsteady MHD Mixed Convection Flow of Chemically Reacting Micropolar Fluid between Porous Parallel Plates with Soret and Dufour Effects by Odelu Ojjela, N. Naresh Kumar

“…A suitable similarity transformation is used to reduce the governing partial differential equations into nonlinear ordinary differential equations and then solved numerically by the quasilinearization method. …”
Get full text

Discrete Dynamic Modeling Analysis of Rural Revitalization and Ecotourism Sustainable Prediction Based on Big Data by Yao Tang

“…In view of this situation, this paper uses the mathematical algorithm of BP neural network to simulate the structure of brain neural network to deal with this kind of nonlinear relationship problem. Through the classification of complex and changeable factors, the modeling is completed systematically, and finally the effective prediction results are obtained. …”
Get full text