Global attractivity of positive periodic solutions for an impulsive delay periodic food limited population model by Jian Song

“…We will consider the following nonlinear impulsive delay differential equation N′(t)=r(t)N(t)((K(t)−N(t−mw))/(K(t)+λ(t)N(t−mw))), a.e. t>0, t≠tk, N(tk+)=(1+bk)N(tk), K=1,2,…, where m is a positive integer, r(t), K(t), λ(t) are positive periodic functions of periodic ω. …”
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STUDY ON DYNAMIC CHARACTERISTICS OF END-TOOTHED CONNECTION ROTOR CONSIDERING CONTACT EFFECT by YANG ZhengLie, WANG AiLun, ZHANG HaiBiao, MA Wu, WANG Hai

“…Aiming at the problem that the finite element analysis software can’t deal with the nonlinear characteristics such as elastoplastic element in modal analysis,the static finite element analysis method is used to obtain the variation of the stiffness of the end tooth structure considering the surface contact with the preload force and proposed an equivalent method that can characterize the contact effect on the stiffness of the end tooth joint structure.An equivalent model of the end-toothed rotor considering contact is established.The influence of preload force on the modal and critical speed of the rotor is obtained by the modal analysis of the rotor under different preload conditions.Analysis data indicates that the equivalent method can correctly reflect the influence of contact effect on rotor stiffness in modal analysis,and the accuracy meets the requirements of engineering application.…”
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Spectral optimization of supercontinuum shaping using metaheuristic algorithms, a comparative study by Mathilde Hary, Teemu Koivisto, Sara Lukasik, John M. Dudley, Goëry Genty

“…Abstract Supercontinuum generation in optical fiber involves complex nonlinear dynamics, making optimization challenging, and typically relying on trial-and-error or extensive numerical simulations. …”
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Dynamics Analysis of Helical Gear with Time-varying Stiffness and Tooth Pitch Error by Zhang Liu, Wu Xuncheng, Xu Junjian, Zhang Juecheng, Zhang Yanjie

“…Combining with the internal incentives,such as the tooth pitch error,the shaft coupling nonlinear dynamics model of helical gear pair bending and twisting is established. …”
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Pulse Width Modulation Control of Mecanum-Wheeled Mobile Robot With Random Noise by Ruijie Yin, Zhaojing Wu, Likang Feng

“…As a preliminary, PWM strategy of random nonlinear systems is obtained by the aid of the functional analysis tool. …”
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Designing the Adaptive Tracking Controller for Uncertain Fully Actuated Dynamical Systems with Additive Disturbances Based on Sliding Mode by Chi Nguyen Van

“…This control method is applied to the angles tracking control of the twin rotor multi-input multi-output system (TRMS) which have nonlinear characteristics, the input torque disturbances and the coupling between the horizontal and vertical movements. …”
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Dufour and Soret Effects on Melting from a Vertical Plate Embedded in Saturated Porous Media by Basant K. Jha, Umaru Mohammed, Abiodun O. Ajibade

“…The resulting system of nonlinear ordinary differential equations is solved numerically using Runge Kutta-Fehlberg with shooting techniques. …”
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MULTI-OBJECTIVE ROBUST OPTIMIZATION DESIGN OF COMPLIANT HINGE BASED ON BP NEURAL NETWORK (MT) by WU JianJun, LI JiaHui

“…Orthogonal experiments are used to select training parameters and test parameters, a BP neural network model is established, and by using the nonlinear fitting ability of the neural network and the global search and optimization ability of genetic algorithm. …”
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CTE Solvability, Nonlocal Symmetry, and Interaction Solutions of Coupled Integrable Dispersionless System by Jun Yu, Bo Ren, Ping Liu, Jia-Li Zhou

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Numerical Characteristic of Gear System Attractor in Phase Space based on G-P Algorithm of Correlation Dimension by He Lin, Matthias Rätsch, Sanmin Wang, Guangshen Xu

“…In order to depict the numerical characteristic of the attractor structure in phase space for gear system effectively, a nonlinear dynamical spur gear transmission model including backlash and general transmission error is established, the calculation formula of equispaced gear system correlation dimension is deduced based on G-P algorithm. …”
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Solving Singular Boundary Value Problems by Optimal Homotopy Asymptotic Method by S. Zuhra, S. Islam, M. Idrees, Rashid Nawaz, I. A. Shah, H. Ullah

“…In this paper, optimal homotopy asymptotic method (OHAM) for the semianalytic solutions of nonlinear singular two-point boundary value problems has been applied to several problems. …”
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Resource management in blockchain-enabled heterogeneous edge computing system by Ping ZHANG, Shilin LI, Yiming LIU, Xiaoqi QIN, Xiaodong XU

“…In blockchain-enabled mobile edge computing (BMEC) systems,a new class of blockchain application related computation tasks was introduced to the system.Due to the differences of parallelism among computation tasks,heterogenous computing framework was introduced to suitably split various computation tasks on processors with vastly different processing power to achieve efficient task execution.Under the limited computation and communication resources,a system-wide utility maximization problem by jointly considering heterogeneous processor scheduling,computation and bandwidth resource allocation was formulated as a mixed-integer nonlinear programming problem.To solve the problem efficiently,the formulated problem was transformed into two sub-problems,namely application-driven heterogeneous processor scheduling and joint resource allocation,and a Lagrange-dual based algorithm was proposed.Simulation results show that the proposed scheme can effectively improve the system-wide utility of the BMEC system.…”
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Research on Dynamic and Complexity of Energy-Saving Investment about Multichannel and Multienergy Supply Chain by Fang Wu

“…It is interesting to find the Grazing–Hopf bifurcation which usually occurs in nonlinear circuits. The mixed expectation of bounded rationality and the naive expectation is conducive to suppressing the bifurcation and chaos of the market. …”
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Anisotropic Bulk Viscous String Cosmological Model in a Scalar-Tensor Theory of Gravitation by D. R. K. Reddy, Ch. Purnachandra Rao, T. Vidyasagar, R. Bhuvana Vijaya

“…Exact solution of the highly nonlinear field equations is obtained using the following plausible physical conditions: (i) scalar expansion of the space-time which is proportional to the shear scalar, (ii) the barotropic equations of state for pressure and energy density, and (iii) a special law of variation for Hubble’s parameter proposed by Berman (1983). …”
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The Exact Linearization and LQR Control of Semiactive Connected Hydropneumatic Suspension System by Xuyang Cao, Linlin Cao, Dianlong Wang

“…Based on differential geometry theory, the nonlinear system of connected hydropneumatic suspension was transformed to a linear one. …”
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Review on Mathematical and Mechanical Models of the Vocal Cord by L. Cveticanin

“…The basic model is a two-mass nonlinear oscillator system which is accepted to be the basic one for mechanical description in voice production. …”
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Study on Temperature Field of Elastic Element of Large Rubber Coupling of Ship by Wang Zhonghou, Wan Pinlei, Zhao Bo

“…For the problem that the finite element simulation analysis of temperature field of large rubber coupling of ships is difficult to convergence because of the large load,the large deformation of rubber piece parts and the nonlinear characteristics of rubber materials,by using the decoupling method,combined with the node equivalence method,the finite element mathematical mode of the rubber material thermal analysis is established theoretically. …”
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Synchronization of Different Uncertain Fractional-Order Chaotic Systems with External Disturbances via T-S Fuzzy Model by Lin Wang, Jinbo Ni, Chunzhi Yang

“…T-S fuzzy models are employed to approximate the unknown nonlinear systems and tracking error signals are used to update the parametric estimates. …”
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On Costas Sets and Costas Clouds by Konstantinos Drakakis

“…We abstract the definition of the Costas property in the context of a group and study specifically dense Costas sets (named Costas clouds) in groups with the topological property that they are dense in themselves: as a result, we prove the existence of nowhere continuous dense bijections that satisfy the Costas property on ℚ2, ℝ2, and ℂ2, the latter two being based on nonlinear solutions of Cauchy's functional equation, as well as on ℚ, ℝ, and ℂ, which are, in effect, generalized Golomb rulers. …”
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Numerical Solution of Higher Order Boundary Value Problems by Shahid S. Siddiqi, Muzammal Iftikhar

“…The aim of this paper is to use the homotopy analysis method (HAM), an approximating technique for solving linear and nonlinear higher order boundary value problems. Using HAM, approximate solutions of seventh-, eighth-, and tenth-order boundary value problems are developed. …”
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