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1)  Duffing oscillator
达芬振子
1.
Based on the bifurcation principle of Duffing oscillators excited by single frequency signals,a new method for detecting Doppler shift of faint sound signals in a strong noise back-ground is introduced.
达芬振子的激励振幅超过某一临界参数时系统由混沌状态突变为周期状态。
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)  Duffing-van der Pol oscillator
杜芬范德波振子
4)  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。
5)  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。
6)  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。
补充资料:十二月十七日夜坐达晓寄子由
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【出处】:
苏轼诗集 卷二十四
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