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Stochastic period-doubling bifurcation in biharmonic driven Duffing system with random parameter: 《Chinese Physics B》2008年第3期857-864,共8页徐伟马少娟谢文贤; Project supported by the National Natural Science Foundation of China(Grant Nos10472091and10332030); Stochastic period-doubling bifurcation is explored in a forced Duffing system with a bounded random parameter as an additional weak harmonic perturbation added to the system. Firstly, the biharmonic driven Duffing sys...; 关键词：random parameter stochastic Duffing system stochastic period-doubling bifurcation orthogonal polynomial approximation

Chaotic motion of the dynamical system under both additive and multiplicative noise excitations被引量：1: 《Chinese Physics B》2008年第2期557-568,共12页李秀春徐伟李瑞红; Project supported by the National Natural Science Foundation of China (Grant Nos 10472091 and 10332030); With both additive and multiplicative noise excitations, the effect on the chaotic behaviour of the dynamical system is investigated in this paper. The random Melnikov theorem with the mean-square criterion that appli...; 关键词：Melnikov theory bounded noise Lyapunov exponent Poincaré map

Stochastic resonance in an asymmetric bistable system driven by coloured correlated multiplicative and additive noise被引量：1: 《Chinese Physics B》2008年第2期486-491,共6页宁丽娟徐伟姚明礼; Project supported by the National Natural Science Foundation of China (Grant Nos 10472091 and 10332030);the Natural Science Foundation of Shaanxi Province (Grant No 2003A03); This paper investigates the stochastic resonance （SR） phenomenon in an asymmetric system with coupling between multiplicative and additive noise when the coupling between two noise terms is coloured. The approximate...; 关键词：stochastic resonance asymmetry bistable system signal-to-noise ratio

Complete synchronization of uncertain chaotic dynamical network via a simple adaptive control被引量：3: 《Chinese Physics B》2008年第1期80-86,共7页肖玉柱徐伟李秀春唐素芳; Project supported by the National Natural Science Foundation of China (Grant Nos 10472091, 10502042 and 10332030) ;Graduate Starting Seed Fund of Northwestern Polytechnical University, China (Grant No Z200655); In this paper, based on the invaxiance principle of differential equations, we propose a simple adaptive control method to synchronize the network with coupling of the general form. Comparing with other control approa...; 关键词：complete synchronization adaptive control dynamical network

Optimized transfer trajectories in the earth-moon system被引量：2: 《Chinese Physics B》2008年第1期350-355,共6页谢文贤徐伟蔡力; Project supported by the National Natural Science Foundation of China (Grant Nos 10472091 and 10332030);support of Youth for Teachers Scientific and Technological Innovation Foundation of Northwestern Polytechnical University; Investigations of low energy transfer trajectories are important for both celestial mechanics and astronautics. Methodologies using the theories from dynamical systems are developed in recent years. This paper investi...; 关键词：celestial mechanics dynamical astronomy ORBIT

Synchronization between two different noise-perturbed chaotic systems with unknown parameters: 《Chinese Physics B》2007年第11期3249-3255,共7页贾飞蕾徐伟都琳; Project supported by the National Natural Science Foundation of China （Grant Nos 10472091 and 10332030） and the Graduate Starting Seed Fund of Northwestern Polytechnical University, China （Grant No Z200655）.; In this paper, a general method of synchronizing noise-perturbed chaotic systems with unknown parameters is proposed. Based on the LaSalle-type invariance principle for stochastic differential equations and by employi...; 关键词：SYNCHRONIZATION adaptive control noise perturbation unknown parameters

New scheme of anticipating synchronization for arbitrary anticipation time and its application to long-term prediction of chaotic states: 《Chinese Physics B》2007年第11期3226-3230,共5页孙中奎徐伟杨晓丽; Project supported by the National Natural Science Foundation of China （Grant Nos 10472091 and 10502042） and the Scientific and Technological Innovation Foundation for Young Teachers of Northwestern Polytechnical University, China.; How to predict the dynamics of nonlinear chaotic systems is still a challenging subject with important real-life applications. The present paper deals with this important yet difficult problem via a new scheme of anti...; 关键词：anticipating synchronization long-term predictability chaotic systems

Stochastic resonance in linear system driven by multiplicative noise and additive quadratic noise被引量：2: 《Chinese Physics B》2007年第9期2595-2599,共5页宁丽娟徐伟姚明礼; Project supported by the National Natural Science Foundation of China （Grant Nos 10472091 and 10332030） and by the Natural Science Foundation of Shaanxi Province, China （Grant No 2003A03）.; In this paper the stochastic resonance （SR） is studied in an overdamped linear system driven by multiplicative noise and additive quadratic noise. The exact expressions are obtained for the first two moments and the...; 关键词：stochastic resonance signal-to-noise ratio dichotomous noise additive quadratic noise

Chaos control and reduced-order generalized synchronization for the Chen-Liao system被引量：1: 《Chinese Physics B》2007年第6期1591-1596,共6页李瑞红徐伟李爽; Project supported by the National Natural Science Foundation of China （Grant Nos 10472091 and 1033203）.; This paper deals with the problem of chaos control and synchronization of the Chen-Liao system. From rigorous mathematic justification, the chaotic trajectories of the Chen-Liao system are led to a type of points whos...; 关键词：Chen-Liao chaotic system chaos control RGS

Complete synchronization between two bi-directionally coupled chaotic systems via an adaptive feedback controller被引量：4: 《Chinese Physics B》2007年第6期1597-1602,共6页肖玉柱徐伟; Project supported by the National Natural Science Foundation of China （Grant Nos 10472091, 10502042 and 10332030） and Graduate Starting Seed Fund of Northwestern Polytechnical University （Grant No Z200655）.; In this paper, we apply a simple adaptive feedback control scheme to synchronize two bi-directionally coupled chaotic systems. Based on the invariance principle of differential equations, sufficient conditions for the...; 关键词：complete synchronization bi-directionally coupled systems adaptive control

国家自然科学基金(s10472091)