VAN_DER_POL

作品数：115被引量：205H指数：7
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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 
Stochastic response of van der Pol oscillator with two kinds of fractional derivatives under Gaussian white noise excitation被引量：2
《Chinese Physics B》2016年第2期13-21,共9页杨勇歌 徐伟 孙亚辉 谷旭东 
Project supported by the National Natural Science Foundation of China(Grant Nos.11472212,11532011,and 11502201)
This paper aims to investigate the stochastic response of the van der Pol （VDP） oscillator with two kinds of fractional derivatives under Gaussian white noise excitation. First, the fractional VDP oscillator is repl...
关键词：stochastic averaging method fractional derivative van der Pol equivalent stochastic system 
The periodic oscillations in the ENSO recharge–discharge oscillator model被引量：1
《Chinese Physics B》2013年第12期34-37,共4页张妩帆 赵强 
Project supported by the National Natural Science Foundation of China(Grant Nos.40975028 and 41175052)
A class of recharge–discharge oscillator model for the El Ni？o/Southern Oscillation （ENSO） is considered. A stable limit cycle is obtained by transforming the ENSO model into the van der Pol-Duffing equation. We p...
关键词：ENSO model van der Pol-Duffing equation limit cycle 
Stochastic responses of Duffing–Van der Pol vibro-impact system under additive colored noise excitation被引量：1
《Chinese Physics B》2013年第11期159-165,共7页李超 徐伟 王亮 李东喜 
Project supported by the National Natural Science Foundation of China(Grant Nos.11172233,10932009,and 11202160);the Natural Science Foundation of Shaanxi Province,China(Grant No.2012JQ1004)
A response analysis procedure is developed for a vibro-impact system excited by colored noise. The non-smooth transformation is used to convert the vibro-impact system into a new system without impact term. With the h...
关键词：vibro-impact system colored noise non-smooth transformation stochastic bifurcation 
A fuzzy crisis in a Duffing-van der Pol system
《Chinese Physics B》2010年第3期182-187,共6页洪灵 
Project supported by the National Natural Science Foundation of China (Grant Nos. 10772140 and 10872155)
A crisis in a Duffing-van del Pol system with fuzzy uncertainties is studied by means of the fuzzy generalised cell mapping （FGCM） method. A crisis happens when two fuzzy attractors collide simultaneously with a fuz...
关键词：fuzzy dynamical systems fuzzy noise fuzzy bifurcation cell mapping methods 
Amplitude control of limit cycle in a van der Pol Duffing system被引量：3
《Chinese Physics B》2009年第11期4748-4753,共6页欧阳克俭 唐驾时 梁翠香 
Project supported by the National Natural Science Foundation of China (Grant No 10672053)
This paper applies washout filter technology to amplitude control of limit cycles emerging from Hopf bifurcation of the van der Pol-Duffing system. The controlling parameters for the appearance of Hopf bifurcation are...
关键词：bifurcation control limit cycle Hopf bifurcation van der Pol-Duffing system 
Stochastic period-doubling bifurcation analysis of stochastic Bonhoeffer-van der Pol system被引量：3
《Chinese Physics B》2007年第7期1923-1933,共11页张莹 徐伟 方同 徐旭林 
Project supported by the Major Program of the National Natural Science Foundation of China, China （Grant No 10332030）, the National Natural Science Foundation of China （Grant No 10472091）, and the Graduate Starting Seed Fund of Northwestern Polytechnical University, China （Grant No Z200655）.
In this paper, the Chebyshev polynomial approximation is applied to the problem of stochastic period-doubling bifurcation of a stochastic Bonhoeffer-van der Pol （BVP for short） system with a bounded random parameter...
关键词：Chebyshev polynomial approximation stochastic Bonhoeffer-van der Pol system stochastic period-doubling bifurcation bounded random parameter 
Analysis of stochastic bifurcation and chaos in stochastic Duffing-van der Pol system via Chebyshev polynomial approximation被引量：5
《Chinese Physics B》2006年第6期1231-1238,共8页马少娟 徐伟 李伟 方同 
Project supported by the National Natural Science Foundation of China （Grants Nos 10472091 and 10332030）.
The Chebyshev polynomial approximation is applied to investigate the stochastic period-doubling bifurcation and chaos problems of a stochastic Duffing-van der Pol system with bounded random parameter of exponential pr...
关键词：stochastic Duffing-van der Pol system Chebyshev polynomial approximation stochastic period-doubling bifurcation stochastic chaos 
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