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甘春标 《Acta Mechanica Sinica》2004,20(5):558-566
A new procedure is developed to study the stochastic Hopf bifurcation in quasiintegrable-Hamiltonian systems under the Gaussian white noise excitation. Firstly, the singular boundaries of the first-class and their asymptotic stable conditions in probability are given for the averaged Ito differential equations about all the sub-system‘s energy levels with respect to the stochastic averaging method. Secondly, the stochastic Hopf bifurcation for the coupled sub-systems are discussed by defining a suitable bounded torus region in the space of the energy levels and employing the theory of the torus region when the singular boundaries turn into the unstable ones. Lastly, a quasi-integrable-Hamiltonian system with two degrees of freedom is studied in detail to illustrate the above procedure.Moreover, simulations by the Monte-Carlo method are performed for the illustrative example to verify the proposed procedure. It is shown that the attenuation motions and the stochastic Hopf bifurcation of two oscillators and the stochastic Hopf bifurcation of a single oscillator may occur in the system for some system‘s parameters. Therefore, one can see that the numerical results are consistent with the theoretical predictions. 相似文献
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乐音演示实验的几点改进杨军(江苏省淮阴师范学校223300)物理教学中“乐音”这一内容,就其本身来说是能够教得既生动形象又引人入胜的.但是由于教材与实验条件等因素的限制,往往使教学效果不那么理想.为此,笔者对乐音演示实验作了几点改进,让学生在观察感受... 相似文献
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研究了无取向硅钢W23G,W10,W14和取向硅钢Q8G4种材料在不同形变量下的磁声发射(MAE)和巴克豪森噪音(BN),结果表明MAE随形变量增大而减少,BN随形变量的增大而增大.测量了形变量为10.4%的W18和W23G在100,200,300,…,700°C各退火1h的MAE与BN值.其中MAE值随退火温度的升高逐渐增大,BN值在高于500°C退火时明显下降.并对上述实验结果进行了详细讨论. 相似文献
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Upper bound for the time derivative of entropy for a dynamical system driven by coloured cross-correlated white noises 下载免费PDF全文
It is shown how the cross-correlation time and strength of coloured cross-correlated white noises can set an upper bound for the time derivative of entropy in a nonequilibrium system. The value of upper bound can be calculated directly based on the Schwartz inequality principle and the Fokker--Planck equation of the dynamical system driven by coloured cross-correlated white noises. The present calculations can be used to interpret the interplay of the dissipative constant and cross-correlation
time and strength of coloured cross-correlated white noises on the upper bound. 相似文献
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本文从理论上分析了同步扫描相机在测量由双波长激光器产生的差频信号时信噪比的问题.这一差频信号的频率和同步相机的扫描频率并非整数倍关系.我们从光电阴极的发射噪音(shotnoise)理论出发,得出了在这种特殊应用情况下相机的信嗓比比正常应用情况下(即入射光脉冲的频率和扫描频率为整数倍关系)至少要小23倍. 相似文献
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本文用噪音微扰场讨论了三光子吸收效应对光纤放大器的增益噪音和误码率的影响.由此得到三光子吸收效应能抑制该类噪音和减小误码率而有利于光孤子通信的结论. 相似文献
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LIUKe LISong GUOQing HUANGDongtao 《声学学报:英文版》2005,24(3):242-251
A lateral Helmholtz resonator added to a standing wave tube without flow has been validated as a method of noise reduction for combustion noise radiated from combustion channel of rockets or turbines. But in fact there is a flow with low velocity in the combustion channel. Therefore the theoretical analysis carried out is aimed at sound field of standing wave tube with flow and with lateral Helmholtz resonator. Certainly a relevant math-physical model should first be formulated. Here three key problems need to be solved: (1) To formulate the discontinuity condition at the joint between the standing wave tube and Helmholtz resonator in the case of flow. (2) To determine the acoustic impedance of Helmholtz resonator, considering the effects of flow, viscous and multihole. (3) To formulate the reflection condition at the end of the standing wave tube. Some formulas for analysis of the sound field in the tube with flow and with lateral Helmholtz resonator are deduced. These theoretical works have been validated by experiments. 相似文献