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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Research on indoor localization algorithm based on kernel principal component analysis by Hua-liang LI, Zhi-hong QIAN, Hong-liang TIAN

“…An indoor localization algorithm based on kernel principal component analysis (KPCA) was proposed.It applied KPCA to train the original location fingerprint (OLF) and extract the nonlinear feature of the OLF data at the offline stage,such that the information of all AP was more efficiently utilized.At the online stage,an improved weight k-nearest neighbor algorithm for positioning which could automatically choose neighbors was proposed.The experiments were carried out in a realistic WLAN environment.The results show that the algorithm outperforms the existing methods in terms of the mean error and localization accuracy.Moreover,it requires less times of RSS acquisition and AP number.…”
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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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Existence Results of Langevin Equations with Caputo–Hadamard Fractional Operator by Sombir Dhaniya, Anoop Kumar, Aziz Khan, Thabet Abdeljawad, Manar A. Alqudah

“…In this manuscript, we deal with a nonlinear Langevin fractional differential equation that involves the Caputo–Hadamard and Caputo fractional operators, with nonperiodic and nonlocal integral boundary conditions. …”
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Adaptive Synchronization of Complex Dynamical Networks with State Predictor by Yuntao Shi, Bo Liu, Xiao Han

“…This paper addresses the adaptive synchronization of complex dynamical networks with nonlinear dynamics. Based on the Lyapunov method, it is shown that the network can synchronize to the synchronous state by introducing local adaptive strategy to the coupling strengths. …”
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Convergence Theorem for a Family of New Modified Halley’s Method in Banach Space by Rongfei Lin, Yueqing Zhao, Qingbiao Wu, Jueliang Hu

“…We establish convergence theorems of Newton-Kantorovich type for a family of new modified Halley’s method in Banach space to solve nonlinear operator equations. We present the corresponding error estimate. …”
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Semilocal Convergence for a Fifth-Order Newton's Method Using Recurrence Relations in Banach Spaces by Liang Chen, Chuanqing Gu, Yanfang Ma

“…We study a modified Newton's method with fifth-order convergence for nonlinear equations in Banach spaces. We make an attempt to establish the semilocal convergence of this method by using recurrence relations. …”
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An optimal energy-efficient resource allocation algorithm in ultra-dense network by Yueyue ZHANG, Weiwei XIA, Yaping ZHU, Feng YAN, Xuzhou ZUO, Lianfeng SHEN

“…The energy-efficient resource allocation problem was taken in an ultra-dense network(UDN) consisted of multiple femtocells.Aiming at maximizing the energy efficiency (EE) of the whole network,quality of service (QoS) constraint and interference limitation was considered.Then,the established nonconvex and nonlinear problem was relaxed relying on Cauchy inequality,and was developed into a non-cooperative game.Additionally,a distributed EE maximization algorithm was proposed satisfying the max-min fairness (MMF) criterion.Simulation results show that the proposed algorithm outperformances the existing algorithms in terms of the EE and the throughput.…”
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On Positive Radial Solutions for a Class of Elliptic Equations by Ying Wu, Guodong Han

“…A class of elliptic boundary value problem in an exterior domain is considered under some conditions concerning the first eigenvalue of the relevant linear operator, where the variables of nonlinear term fs,u need not to be separated. Several new theorems on the existence and multiplicity of positive radial solutions are obtained by means of fixed point index theory. …”
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The Convergence Ball and Error Analysis of the Relaxed Secant Method by Rongfei Lin, Qingbiao Wu, Minhong Chen, Lu Liu

“…Radius estimate of the convergence ball of the relaxed secant method is attained for the nonlinear equation systems with Lipschitz continuous divided differences of first order. …”
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Searching for Analytical Solutions of the (2+1)-Dimensional KP Equation by Two Different Systematic Methods by Yongyi Gu, Fanning Meng

“…The results demonstrate that the applied methods are efficient and direct methods to solve the complex nonlinear systems.…”
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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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Weak Sharp Minima in Set-Valued Optimization Problems by Ming-hao Jin, Jun-xiang Wang, Shu Xu

“…We present some sufficient and necessary conditions that a pair point is a weak ψ-sharp minimizer through the outer limit of set-valued map and develop the characterization of the weak ψ-sharp minimizer in terms of a generalized nonlinear scalarization function. These results extend the corresponding ones in Studniarski (2007).…”
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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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Pricing Option with Stochastic Interest Rates and Transaction Costs in Fractional Brownian Markets by Lina Song, Kele Li

“…By the means of the hedging and replicating techniques, the new equations satisfied by zero-coupon bond and the nonlinear equation obeyed by European option are established in succession. …”
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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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Global Sensitivity Analysis of the Vibration Reduction System with Seated Human Body by Igor Maciejewski, Tomasz Krzyzynski

“…The variance-based method is used to evaluate an influence of nonlinear force characteristics on the system dynamics. …”
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Analytical Approximate Solution of Chemical Kinetics Problems by Hatıra Günerhan

“…Proposed problem is system of nonlinear ordinary differential equations. We show converges analysis of the differential transform method. …”
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STABILITY AND BIFURCATION OF PERIODIC MOTIONS OF THE PERMANENT MAGNET ROTOR SYSTEM WITH RUBBING by LAN HongWei

“…Established a two degrees of freedom model with discontinuous rigidity and damp for studying the response of the permanent magnet motor’s rotor and stator rubbing system,and there are abundant nonlinear dynamic behaviors when rubbing.the stability of periodic motions and the transitions to chaos though period-doubling bifurcations or Hopf bifurcations are studied based on Poincare mapping. …”
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Qualitative Analysis of Coating Flows on a Rotating Horizontal Cylinder by Marina Chugunova, Roman M. Taranets

“…We consider a nonlinear 4th-order degenerate parabolic partial differential equation that arises in modelling the dynamics of an incompressible thin liquid film on the outer surface of a rotating horizontal cylinder in the presence of gravity. …”
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