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Stability analysis of a time-delayed Van der Pol–Helmholtz–Duffing oscillator in fractal space with a non-perturbative approach: 《Communications in Theoretical Physics》2024年第4期22-31,共10页Yusry O El-Dib; The time-delayed fractal Van der Pol–Helmholtz–Duffing(VPHD)oscillator is the subject of this paper,which explores its mechanisms and highlights its stability analysis.While time-delayed technologies are currently g...; 关键词：Van der Pol-Helmholtz-Duffing oscillator fractal space time-delay non-perturbative approach stability analysis El-Dib's frequency formula

P-Bifurcation of Stochastic van der Pol Model as a Dynamical System in Neuroscience: 《Communications on Applied Mathematics and Computation》2022年第4期1293-1312,共20页F.S.Mousavinejad M.FatehiNia A.Ebrahimi; This study aims to determine the phenomenological bifurcation(P-bifurcation)occur-ring in the van der Pol(VDP)neuronal model of burst neurons with a random signal.We observe the P-bifurcation under an intense noise st...; 关键词：Averaging diffusion system P-bifurcation Stability NEUROSCIENCE VDP stochastic equation

An efficient approach to solving fractional Van der Pol-Duffing jerk oscillator被引量：2: 《Communications in Theoretical Physics》2022年第10期50-59,共10页Yusry O El-Dib; The motive behind the current work is to perform the solution of the Van der Pol–Duffing jerk oscillator,involving fractional-order by the simplest method.An effective procedure has been introduced for executing the ...; 关键词：Van der Pol oscillator Duffing jerk oscillator fractional oscillator non-perturbative approach numerical simulation

Swarming Computational Approach for the Heartbeat Van Der Pol Nonlinear System: 《Computers, Materials & Continua》2022年第9期6185-6202,共18页Muhammad Umar Fazli Amin Soheil Salahshour Thongchai Botmart Wajaree Weera Prem Junswang Zulqurnain Sabir; This research received funding support from the NSRF via the Program Management Unit for Human Resources&Institutional Development,Research and Innovation(Grant Number B05F640088).; The present study is related to design a stochastic framework for the numerical treatment of the Van der Pol heartbeat model(VP-HBM)using the feedforward artificial neural networks(ANNs)under the optimization of parti...; 关键词：Particle swarm optimization van der Pol heartbeat system statistical analysis artificial neural networks active-set algorithm numerical computing

一类Van Der Pol-Duffing模型的隐藏吸引子存在性问题被引量：1: 《科学技术创新》2022年第10期37-40,共4页聂家升焦岑吕小俊; 江苏省教育厅基金项目(21KJB110013);云南省教育厅科学研究基金(2020J0908)。; 就目前的研究来说,隐藏吸引子是一个比较新颖的课题,而研究动力系统中隐藏吸引子的存在性问题是一项重要的研究课题。通过建立一个新颖的非线性Van Der Pol-Duffing振子模型,运用一项新的研究方法,即分析-数值方法,从而研究非线性动力...; 关键词：动力系统隐藏吸引子 HOPF分支谐波线性化分析-数值方法

摄动-增量法解Duffing-Van der Pol方程极限环被引量：2: 《湖北民族大学学报（自然科学版）》2020年第3期297-302,共6页李军桦汪海玲李祖雄; 国家自然科学基金项目(11701163,11561022).; 本文提出并应用摄动-增量法研究一类Duffing-Van der Pol方程的极限环,并给出对应参数时极限环的解析解和相图.该方法的特点是先应用摄动法,设出小参数λ,令λ≈0时,求极限环的零阶摄动解,然后应用谐波平衡法建立含Fourier级数展开式的...; 关键词：Duffing-Van der Pol方程摄动-增量法极限环

Position and Velocity Time Delay for Suppression Vibrations of a Hybrid Rayleigh-Van der Pol-Duffing Oscillator被引量：3: 《Sound & Vibration》2020年第3期149-161,共13页Y.A.Amer A.T.El-Sayed M.N.Abd El-Salam; In this paper,we used time delay feedback to minimize the vibrations of a hybrid Rayleigh–van der Pol–Duffing oscillator.This system is a one-degree-offreedom containing the cubic and fifth nonlinear terms and an ex...; 关键词：Position time delay feedback velocity time delay feedback multiple scales method resonance cases

一类环上的三自由度耦合van der Pol方程的同伦分析方法: 《动力系统与控制》2020年第1期22-39,共18页胡佩倩钱有华; 感谢国家自然科学基金项目(11572288)、浙江省自然科学基金项目(LY20A020003)和浙江师范大学数计学院重点项目(ZD01201713)资助。; 本文主要运用同伦分析方法研究一类三自由度耦合van der Pol振子环系统周期解的近似表达式。我们先给出此系统的一般方程,再将此一般方程分成四类来讨论。第一,所有振子都同步运动;第二,两个振子同步运动,而第三个振子以一无关的方式运...; 关键词：同伦分析方法耦合van der Pol振子周期解

Analytical Solution of Van Der Pol’s Differential Equation Using Homotopy Perturbation Method: 《Journal of Applied Mathematics and Physics》2019年第1期1-12,共12页Md. Mamun-Ur-Rashid Khan; In this research work, Homotopy perturbation method (HPM) is applied to find the approximate solution of the Van der Pol Differential equation (VDPDE), which is a well-known nonlinear ODE. Firstly, the approximate sol...; 关键词：HOMOTOPY Perturbation Method (HPM) Van Der POL DIFFERENTIAL Equation (VDPDE) Nonlinear DIFFERENTIAL Equations Analytic Solution Boundary Conditions

Stochastic bifurcations of generalized Duffing–van der Pol system with fractional derivative under colored noise被引量：7: 《Chinese Physics B》2017年第9期62-69,共8页李伟张美婷赵俊锋; Project supported by the National Natural Science Foundation of China(Grant No.11302157);the Natural Science Basic Research Plan in Shaanxi Province of China(Grant No.2015JM1028);the Fundamental Research Funds for the Central Universities,China(Grant No.JB160706);Chinese–Serbian Science and Technology Cooperation for the Years 2015-2016(Grant No.3-19); The stochastic bifurcation of a generalized Duffing–van der Pol system with fractional derivative under color noise excitation is studied. Firstly, fractional derivative in a form of generalized integral with time-de...; 关键词：stochastic bifurcation fractional derivative color noise stochastic averaging method

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