VAN_DER_POL

作品数：115被引量：205H指数：7
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相关作者：陈予恕吴志强徐鉴杜文举张建刚更多>>
相关机构：天津大学石家庄铁道大学东北师范大学西北工业大学更多>>
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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 
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 
Complex bursting patterns in Van der Pol system with two slowly changing external forcings被引量：2
《Science China(Technological Sciences)》2012年第3期702-708,共7页HAN XiuJing BI QinSheng 
supported by the National Natural Science Foundation of China (Grant Nos. 10872080, 20976075, 10972091 and 11102076);the Research Foundation for Advanced Talents of Jiangsu University (Grant No. 11JDG075);the Natural Science Foundation of Higher Education Institutions of Jiangsu Province (Grant No. 10KJD110006)
This paper investigates the generation of complex bursting patterns in Van der Pol system with two slowly changing external forcings. Complex bursting patterns, including complex periodic bursting and chaotic bursting...
关键词：Van der Pol system two external forcings complex periodic bursting patterns chaotic bursting 
Singularity analysis of Duffing-van der Pol system with two bifurcation parameters under multi-frequency excitations被引量：2
《Applied Mathematics and Mechanics(English Edition)》2010年第8期1019-1026,共8页秦朝红 陈予恕 
Project supported by the National Natural Science Foundation of China (No. 10632040)
Bifurcation properties of a Duffing-van der Pol system with two parameters under multi-frequency excitations are studied. Three cases are discussed： （1） λ 1 is considered as bifurcation parameter, （2） λ 2 is co...
关键词：Duffing-van der Pol system two parameters singularity analysis 
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 
Universal classification of bifurcating solutions to a primary parametric resonance in van der Pol-Duffing-Mathicu's systems被引量：2
《Science China Mathematics》1996年第4期405-417,共13页陈予恕 徐鉴 
the National Natural Science Foundation of China and National Education Committee of China Science Foundation.
The bifurcation of the second-order approximate solutions of nonlinear parametrically excited systems possessing generalized van der Pol's dampings and quintic Duffing's nonlinearities subjected to a primary parametri...
关键词：dynamical SYSTEM TOPOLOGICAL EQUIVALENCE nonlinear parametrically excited SYSTEM BIFURCATION universal unfolding. 
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