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Chaotic Motions of the van der Pol-Duffing Oscillator Subjected to Periodic External and Parametric Excitations with Delayed Feedbacks: 《Acta Mathematicae Applicatae Sinica》2024年第4期1111-1126,共16页Liang-qiang ZHOU Fang-qi CHEN; supported by the National Natural Science Foundation of China(No.11772148,12172166 and 11872201);China Postdoctoral Science Foundation(No.2013T60531)。; Chaotic dynamics of the van der Pol-Duffing oscillator subjected to periodic external and parametric excitations with delayed feedbacks are investigated both analytically and numerically in this manuscript.With the Me...; 关键词：Van der Pol-Duffing oscillator time delay CHAOS parametric excitation Melnikov method

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

宽带噪声激励下含分数阶时滞系统的随机分岔: 《菏泽学院学报》2023年第5期6-13,共8页盛正大王媛王慧男王芳; 研究了在外部宽带噪声激励下含分数阶耦合时滞反馈的Van der pol系统的随机分岔.利用一组拟周期函数近似替换分数阶微分,通过随机平均法得到系统的伊藤随机微分方程,进一步求出与系统幅值相关的平稳概率密度函数.使用Matlab绘制联合概...; 关键词：随机P-分岔随机平均法 Van der pol方程平稳概率密度函数宽带噪声

Bayesian system identification and chaotic prediction from data for stochastic Mathieu-van der Pol-Duffing energy harvester: 《Theoretical & Applied Mechanics Letters》2023年第2期89-92,共4页Di Liu Shen Xu Jinzhong Ma; This work is supported by the National Nature Science Founda-tion of China(Nos.11972019 and 12102237).; In this paper,the approximate Bayesian computation combines the particle swarm optimization and se-quential Monte Carlo methods,which identify the parameters of the Mathieu-van der Pol-Duffing chaotic energy harvester...; 关键词：Vibration energy harvester Approximate Bayesian computation 0–1 test Parameter identification Chaotic prediction

分数阶van der Pol-Mathieu方程的动力学分析: 《振动与冲击》2023年第8期62-68,共7页郭建斌申永军; 国家自然科学基金(U1934201,11772206);石家庄铁道大学研究生创新项目(YC2021043)。; 以含分数阶微分项的van der Pol-Mathieu方程为对象,研究了谐波激励作用下主共振的动力学行为和稳定性。采用平均法得到了方程近似解析解,通过数值方法验证了解析结果的准确性。建立了系统稳态响应的幅频方程,利用Lyapunov第一方法得到...; 关键词：分数阶微分 van der Pol-Mathieu方程平均法稳定性

海洋钢悬链线立管振动响应与疲劳预测被引量：1: 《西南石油大学学报（自然科学版）》2023年第1期163-179,共17页朱红钧丁志奇高岳赵宏磊胡洁; 涡激振动是引发立管疲劳损伤的关键诱因之一。基于Van Der Pol尾流振子方程,研究了不同长度两端铰接的钢悬链线立管在相同来流流量不同剖面剪切来流作用下的涡激振动响应。采用二阶中心差分法对时域和空间域的耦合方程组进行了求解,并...; 关键词：涡激振动钢悬链线立管 Van Der Pol尾流振子雨流计数法疲劳损伤

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

基于深度学习的心律模拟算法及其应用被引量：2: 《计算机应用研究》2022年第4期1162-1167,共6页龙坡陈浩何晶何堃; 国家自然科学基金资助项目(61772190);湖南省教育厅科学研究项目(20C0092)。; 研究基于Van der Pol方程的心律模型有助于进行心律调控,为心律失常等心脏疾病治疗提供指导。针对已有Van der Pol方程时间尺度与真实生物心律不一致的问题,引入时间尺度参数,改进Van der Pol方程。针对心律模型的数值模拟问题,提出一...; 关键词：心律模型心律调控数值模拟 Van der Pol方程深度神经网络深度学习

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