Energy-Efficient Train Operation Using Nature-Inspired Algorithms by Kemal Keskin, Abdurrahman Karamancioglu

“…The optimization process results in switching points that initiate cruising and coasting phases of the driving. Due to nonlinear optimization formulation of the problem, nature-inspired evolutionary search methods, Genetic Simulated Annealing, Firefly, and Big Bang-Big Crunch algorithms were employed in this study. …”
Get full text

The impact of immune cell interactions on virus quasi-species formation by Ali Moussaoui, Vitaly Volpert

“…Numerical simulations were employed to elucidate the nonlinear dynamics and pattern formation inherent in the nonlocal model.…”
Get full text

A Result on the Existence and Uniqueness of Stationary Solutions for a Bioconvective Flow Model by Aníbal Coronel, Luis Friz, Ian Hess, Alex Tello

“…The bioconvective model is a boundary value problem for a system of four equations: the nonlinear Stokes equation, the incompressibility equation, and two transport equations. …”
Get full text

Adaptive Finite-Time Fault-Tolerant Control for Half-Vehicle Active Suspension Systems with Output Constraints and Random Actuator Failures by Jie Lan, Tongyu Xu

“…The problem of adaptive finite-time fault-tolerant control (FTC) and output constraints for a class of uncertain nonlinear half-vehicle active suspension systems (ASSs) are investigated in this work. …”
Get full text

Optimization of Contact Path and Transmission Error based on Installation and Adjustment of Spiral Bevel Gear by Mingkang Wang, Changjiang Zhou, Yi Liu, Jian Hong, Shengwen Hou

“…Taking the misalignment as the design variable and presetting the characteristic parameters of contact path and the transmission error，an objective function is built and solved by the nonlinear optimization algorithm. The optimization results show that the contact path is moved to the small end and the loaded contact area is expanded to the middle of the tooth flank，load bearing contact performance is improved. …”
Get full text

Observation of Pattern Stabilization in a Driven Superfluid by Nikolas Liebster, Marius Sparn, Elinor Kath, Jelte Duchene, Keisuke Fujii, Sarah L. Görlitz, Tilman Enss, Helmut Strobel, Markus K. Oberthaler

“…Theoretically, this can be understood as the emergence of a stable fixed point of coupled nonlinear amplitude equations, which include phonon-phonon interactions. …”
Get full text

Conséquences des changements climatiques en milieu océanique by Grégory Beaugrand, Eric Goberville

“…Mechanisms are complex because they are nonlinear exhibiting tipping points and varying in space and time. …”
Get full text

Construction method of type-Ⅱ even-length Z-complementary pair with large zero correlation zone width by Xiaoyu CHEN, Lianfeng SUN, Yihan ZHANG

“…The construction method of Type-Ⅱ even-length Z-complementary pair (ZCP) was proposed by using the inter-leaving technique.The basic framework of interleaving structure with Golay complementary pair (GCP) and its mate as the basic sequences was proposed.Furthermore, the necessary conditions were given for the framework in order that the resulting ZCP could have large zero correlation zone (ZCZ) width.The main parameter form of the constructed ZCP was((2k+1)N,(2k+1)N-k)-ZCP, where N was the length of the chosen GCP.Although not all even lengths can be covered, the constructed ZCP has the ZCZ width that can achieve or approach the upper bound of Type-Ⅱ even-length binary ZCP, and has small peak-to-mean envelope power ratio whose value is less than or equal to 4.The resultant sequences can be applied to multi-carrier spread spectrum system to eliminate more asynchronous interference and reduce nonlinear distortion.…”
Get full text

A Multistage Feedback Control Strategy for Producing 1,3-Propanediol in Microbial Continuous Fermentation by Honghan Bei, Lei Wang, Jing Sun, Liwei Zhang

“…Inspired by the control parameterization method, we use the piecewise-constant functions to approximate the coefficient functions; then we get the multistage feedback control law by solving nonlinear mathematical programming problems. Numerical results indicate the flexibility and effectiveness of our strategy.…”
Get full text

Energy efficiency optimization algorithm for heterogeneous NOMA network based on imperfect CSI by Yongjun XU, Hao XIE, Qianbin CHEN, Jinzhao LIN, Qilie LIU

“…In order to improve the suppression capability of parametric perturbation and energy efficiency (EE) of heterogeneous networks (HetNets),a robust resource allocation algorithm was proposed to maximize system EE for reducing cross-tier interference power in non-orthogonal multiple access (NOMA) based HetNets.Firstly,the resource optimization problem was formulated as a mixed integer and nonlinear programming one under the constraints of the interference power of macrocell users,maximum transmit power of small cell base station (BS),resource block assignment and the quality of service (QoS) requirement of each small cell user.Then,based on ellipsoid bounded channel uncertainty models,the original problem was converted into the equivalent convex optimization problem by using the convex relaxation method,Dinkelbach method and the successive convex approximation (SCA) method.The analytical solutions were obtained by using the Lagrangian dual approach.Simulation results verifiy that the proposed algorithm had better EE and robustness by comparing it with the existing algorithm under perfect channel state information.…”
Get full text

Numerical Analysis of Time-Fractional Diffusion Equations via a Novel Approach by Nehad Ali Shah, S. Saleem, Ali Akgül, Kamsing Nonlaopon, Jae Dong Chung

“…This paper proposes a simpler method to calculate the multiplier using the Shehu transformation, making a valuable technique to researchers dealing with various linear and nonlinear problems.…”
Get full text

Research on Gearbox Impact Feature Extraction Method Based on the Improved ESMD and Dynamics Model by Gu Sheng, Bie Fengfeng, Miao Xinting, Zhao Wei, Guo Yue

“…The gearbox vibration signal contains nonlinear impact characteristics, and the significant feature information tends to be overwhelmed with other interference components. …”
Get full text

PRINCIPAL-INTERNAL RESONANCE OF AN AXIALLY MOVING THIN PLATE SUBJECTED TO DOUBLE LINE LOADS by XIE MengXue, HU YuDa

“…Using Kirchhoff’s basic hypothesis and combining geometric equation with physical equation, the nonlinear vibration equation of axially moving thin plates was obtained by using Hamilton variation principle. …”
Get full text

Wireless sensor node localization based on IPSO-MC by Yongyan LI, Jianping WU

“…To solve the problem of insufficient node positioning accuracy in wireless sensor networks,an algorithm based on improved particle swarm optimization by membrane computing (IPSO-MC) was proposed.Kent mapping was used to initialize the population and domain particles were introduced to improve the global optimization of the particle swarm.The weight factor and nonlinear extreme value perturbation were used to improve the local optimization ability of the particle swarm,and the Levy flight mechanism was used to optimize the individual position.Finally,the optimal solution of the particle swarm algorithm was obtained by the evolutionary rules of the membrane computing.Simulation experiments show that compared with the chicken flock algorithm,the improved particle swarm algorithm and the membrane computing,the proposed algorithm improves 3.24%,5.12% and 8.15% in the comparison of reference node ratio indicators,and the increase in the number of nodes indicators by 2.26%,7.82% and 9.81%,and the comparison of communication radius indicators increased by 2.15%,5.5% and 7.5%,respectively.This indicates that the algorithm has a good effect in node localization.…”
Get full text

Rolling Element Bearing Fault Diagnosis Based on Multiscale General Fractal Features by Weigang Wen, Zhaoyan Fan, Donald Karg, Weidong Cheng

“…Nonlinear characteristics are ubiquitous in the vibration signals produced by rolling element bearings. …”
Get full text

Mixed Optimal Scheduling Model of Flexible Service System Based on Inverted Triangle by Shipei Hu, Yujun Sun

“…In the study presented in this paper, we built a nonlinear binary integer programming model of a flexible scheduling problem for the Department of Zhejiang Provincial Local Tax Services. …”
Get full text

A Panoramic Sketch about the Robust Stability of Time-Delay Systems and Its Applications by Baltazar Aguirre-Hernández, Raúl Villafuerte-Segura, Alberto Luviano-Juárez, Carlos Arturo Loredo-Villalobos, Edgar Cristian Díaz-González

“…Besides, criteria on robust stability and stability of nonlinear time-delay systems are presented, including some numerical approaches.…”
Get full text

Double array system identification research based on LSTM neural network by Chunhua Gao, Mingyang Wang, Yifei Sima, Zihan Yuan

“…To efficiently address the complex nonlinear problems associated with earthquake simulation shaking array systems, this paper proposes the identification of the earthquake simulation shaking array system using the Long Short-Term Memory (LSTM) algorithm. …”
Get full text

An application of s-elementary wavelets in numerical solution of differential and fractional integral equations by Mohammad Javad Kheirdeh, Ataollah Askari Hemmat, Habibollah Saeedi

“…We build a basis associated to this type wavelet sets and use operational matrix of this basis to solve nonlinear Riccati differential equations and Riemann-Liouville fractional integral equations of order $\alpha >0$, numerically. …”
Get full text

Modeling transcriptional co-regulation of mammalian circadian clock by Yanqin Wang, Xin Ni, Jie Yan, Ling Yang

“…In this paper, a scalar nonlinear differential equation with two delays, modeling the transcriptional co-regulation in mammalian circadian clock, is proposed and analyzed. …”
Get full text