VAN_DER_POL

作品数：115被引量：204H指数：7
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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 
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 
PRINCIPAL RESPONSE OF VAN DER POL-DUFFING OSCILLATOR UNDER COMBINED DETERMINISTIC AND RANDOM PARAMETRIC EXCITATION
《Applied Mathematics and Mechanics(English Edition)》2002年第3期299-310,共12页戎海武 徐伟 王向东 孟光 方同 
theNationalNaturalScienceFoundationofChina( 1 0 0 72 0 49;1 9972 0 54 ) ;theNaturalScienceFoundationofGuangdong( 9744 )
The principal resonance of Van der Pol-Duffing oscillator to combined deterministic and random parametric excitations is investigated. The method of multiple scales was used to determine the equations of modulation of...
关键词：principal resonance Van der Pol-Duffing oscillator multiple scate method largest Lyapunov exponent steady state probability density function 
STRONGLY RESONANT BIFURCATIONS OF NONLINEARLY COUPLED VAN DER POL-DUFFING OSCILLATOR被引量：1
《Applied Mathematics and Mechanics(English Edition)》1999年第1期68-75,共8页甘春标 陆启韶 黄克累 
In this paper, the strongly resonant bifurcations of a nonlinearly coupled Van der Pol-Duffing Oscillator by the classical multi-scale method are studied. It is shown that there exist periodic motions of a single osci...
关键词：nonlinearly coupling multi-scale method frequency-locking QUASI-PERIODIC 
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