| 非自治非线性杜芬系统的随机振动 |
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| 引用本文： | 陈炎,黄小清,罗文结. 非自治非线性杜芬系统的随机振动[J]. 华南理工大学学报(自然科学版), 2000, 28(1): 96-102 |
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| 作者姓名： | 陈炎 黄小清 罗文结 |
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| 作者单位： | 华南理工大学,交通学院,广东,广州,510640 |
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| 摘 要： | 本文利用数值模拟技术（ＮＳＴ）及蒙特卡罗方法（ＭＣＭ）对非自治非线性随机杜芬系统（ＮＡＮＬＳＤＦＳ）的随机振动性状进行研究，获得了ＮＡＮＬＳＤＦＳ演化的概率密度流及其位移－速度联合概率密度流，发现ＮＡＮＬＳＤＦＳ存在时间分岔、结构分岔、鞍点处的驼峰、倍频运动、相空间中的双峰极限环等特征，并对这些特征的性质及意义进行了探讨。
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| 关 键 词： | 非自治 NANLSS 随机振动 非线性杜芬系统 |
| 文章编号： | 1000-565X(2000)01-0096-07 |
Stochastic Vibration of the Non-autonomous Non-linear Duffing System |
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| CHEN Yan,HUANG Xiao-qing,LUO Wen-jie. Stochastic Vibration of the Non-autonomous Non-linear Duffing System[J]. Journal of South China University of Technology(Natural Science Edition), 2000, 28(1): 96-102 |
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| Authors: | CHEN Yan HUANG Xiao-qing LUO Wen-jie |
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| Abstract: | This paper presents a numerical approach to the random dynamics of the non_autonomous non_linear stochastic duffing system (NANLSDFS). The analysis utilizes a numerical simulation technique (NST) and Monte Carlo Method (MCM). The NANLSDFS's probability density flow and its displacement velocity joint probability density are obtained, and such properties of NANLSDFS as time bifurcation, construct bifurcation, hump on the saddle, doubled frequency motion and doubled peak limit cycle on the state space, are found. The properties and the meaning of these phenomena are also discussed. |
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| Keywords: | non_autonomous non_liner stochastic duffing system numerical simulation technique probability density flow time bifurcation construct bifurcation |
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