1) bistable Duffing oscillator
双稳杜芬振子
1.
In this paper,the relationship between the bifurcation of noisy bistable Duffing oscillator s moment equations and stochastic resonance of this system is studied.
研究了含噪声的双稳杜芬振子矩方程的分岔与随机共振的关系,并根据它们的关系,从另一个角度揭示了随机共振发生的机制。
2) Duffing oscillator
杜芬振子
1.
Methods of random Melnikov process function are introduced to analyze the equation and the differential trajectory,the influence of non-Gaussian color noise on Duffing oscillator chaotic motion behavior is also studied,a new chaotic method for the sine wave parameter estimation in non-Gaussian color noise environment is given.
首先对多参量简化杜芬方程进行了改进,采用梅尔尼科夫过程函数讨论了方程的解和微分流形的演化情况;分析了非高斯色噪声对杜芬振子混沌运动行为的影响;进而提出了一种新的非高斯色噪声背景下正弦信号参量估计方法。
2.
Duffing oscillators’ phase transformation from chaos to intermittent chaos is sensitive to the signals, whose frequency difference is little different from the reference signal, while it has immune to white noise and the signals, whose frequency is quite different from the reference signal.
杜芬振子从混沌到间歇性混沌的相变对与参考信号频差较小的周期小信号具有敏感性,而对白噪声和与参考信号频差较大的周期干扰信号具有免疫力。
3.
This article,through studying bifurcation and singularity of Duffing equation,by making use of the characteristics that Duffing oscillators produce spectrum approximates to white noise after enough bifurcation under perturbation of weak sinusoidal signal,analyzes bifurcation equation of Duffing oscillators and spectrum features.
通过对杜芬(Duffing)方程的分岔与奇异性的研究,利用弱正弦信号扰动下杜芬振子经过足够多的分岔会产生近似白噪声的频谱特性,对杜芬振子的分岔方程和解态频谱进行分析,证明白噪声信号与混沌信号属于同一类信号,本文首次验证了确定系统混沌信号的频谱与噪声随机信号的相似性。
3) a bistable Duffing model
双稳杜芬模型
1.
We investigated the stationary probability distribution (SPD) and the mean and normalized variance of the steady-state properties of a bistable Duffing model subjected to the additive and multiplicative colored noises with a colored cross-correlation for different correlation times.
研究了由色关联的色噪声驱动的双稳杜芬模型的稳态概率密度函数及状态变量的均值和标准方差。
4) Duffing-van der Pol oscillator
杜芬范德波振子
5) Duffing oscillator of Holmes type
Holmes型杜芬振子
1.
The effects of bounded-noise excitation on the Duffing oscillator of Holmes type are discussed.
讨论了有界噪声对两种不同参数的Holmes型杜芬振子的动力学行为的影响。
6) softening Duffing oscillator
软弹簧杜芬振子
1.
The purpose of this paper is to discuss the effect of noises on erosion of safe basin in the softening Duffing oscillator.
研究随机激励对软弹簧杜芬振子的安全盆的影响。
补充资料:点振子振动和点电极振子振动
分子式:
CAS号:
性质:又称点振子振动和点电极振子振动。振动能量绝大部分集中在点电极范围内,形成“能量封闭”的振动模式。振子电极面远小于压电陶瓷片的总面积,且与厚度有适宜的匹配关系。在交变电场作用下,沿厚度方向产生振动,其振幅随着至电极中心距离的增加,呈指数式衰减。谐振频率与压电陶瓷片的厚度有关。为提高频率通常将压电陶瓷片磨得很薄,有时考虑到压电陶瓷自身强度太低,可用特制的陶瓷片作垫片来防止压电陶瓷片损坏。常用于高频场合。
CAS号:
性质:又称点振子振动和点电极振子振动。振动能量绝大部分集中在点电极范围内,形成“能量封闭”的振动模式。振子电极面远小于压电陶瓷片的总面积,且与厚度有适宜的匹配关系。在交变电场作用下,沿厚度方向产生振动,其振幅随着至电极中心距离的增加,呈指数式衰减。谐振频率与压电陶瓷片的厚度有关。为提高频率通常将压电陶瓷片磨得很薄,有时考虑到压电陶瓷自身强度太低,可用特制的陶瓷片作垫片来防止压电陶瓷片损坏。常用于高频场合。
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
参考词条