云南高校图书馆联盟文献共享服务平台- VAN_DER

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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

Approximate analytical solution in slow-fast system based on modified multi-scale method被引量：5: 《Applied Mathematics and Mechanics(English Edition)》2020年第4期605-622,共18页Xianghong LI Jianhua TANG Yanli WANG Yongjun SHEN; the National Natural Science Foundation of China(Nos.11672191,11772206,and U1934201);the Hundred Excellent Innovative Talents Support Program in Hebei University(No.SLRC2017053)。; A simple,yet accurate modi?ed multi-scale method(MMSM)for an approximately analytical solution in nonlinear oscillators with two time scales under forced harmonic excitation is proposed.This method depends on the clas...; 关键词：modified multi-scale method(MMSM) slow-fast system multi-scale method(MSM) van der Pol system

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

含平方项和5次幂项的Van der Pol-Duffing系统混沌控制被引量：1: 《兰州文理学院学报（自然科学版）》2019年第1期1-5,共5页张莉彭建奎; 甘肃省自然科学基金项目(17JR5RA096);兰州工业学院青年科技创新项目(17K-016); 研究了同时含有平方项和高次幂项的Van der Pol-Duffing系统的混沌行为及混沌控制问题,数值仿真分析了该系统存在的典型非线性动力学行为.主要采用单初始点分岔分析方法、最大Lyapunov指数和Poincare映射方法,从不同侧面揭示了在周期激...; 关键词：VAN der Pol-Duffing振子混沌控制最大LYAPUNOV指数 POINCARE截面

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