共查询到16条相似文献,搜索用时 171 毫秒
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两个单一双稳系统经非线性耦合而成为耦合系统,将其中一个双稳系统当作参数固定的被控系统,而另一个则作为参数可调的控制系统,通过调节耦合系数和控制系统的参数能产生随机共振.给控制系统外加单一频率信号,改变其频率大小能使控制系统产生共振.由于耦合的作用,控制系统的共振将影响被控系统的随机共振,从而在耦合系统中形式双共振现象,实现了用一个共振去影响另一个共振,并能使被控系统的随机共振更加强烈.经计算机仿真证实了它的有效性.
关键词:
耦合系统
双频信号
随机共振
双共振 相似文献
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针对双稳系统的高频信号响应,探讨了双稳调参的高频共振机理.研究表明,二次采样频率变换并不改变双稳结构直接在原系统结构上在与高频映射对应的低频处实现共振,而双稳系统参数调节是调参改变双稳结构并直接在高频处实现共振.双稳系统参数调节之所以能够实现高频随机共振,是因为同时调节双稳系统两参数可使Kramers逃逸速率不存在极限值,突破了随机共振信号频率必须在小频率范围内的限制.
关键词:
双稳系统
高频共振
二次采样频率变换
系统参数调节 相似文献
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研究了不同周期信号调制下非对称双稳耦合网络系统的尺度随机共振问题. 针对该网络系统, 首先运用高斯近似和役使原理对其进行了降维, 推导了其简化模型. 在绝热近似条件下, 利用Fokker-Planck方程分别得到了余弦信号和矩形信号调制下信噪比的解析表达式. 在此基础上, 研究了系统的尺度随机共振行为, 并讨论了非对称性、噪声强度、周期信号的振幅和耦合系数对系统尺度随机共振的影响. 结果表明, 两种情形下信噪比均是系统尺度的非单调函数, 说明在此网络系统中产生了共振现象.
关键词:
尺度随机共振
非对称双稳耦合网络系统
余弦信号
矩形信号 相似文献
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Rencheng Zheng Kimihiko Nakano Honggang Hu Dongxu Su Matthew P. Cartmell 《Journal of sound and vibration》2014
The application of stochastic resonance to mechanical energy harvesting is currently of topical interest, and this paper concentrates on an analytical and experimental investigation in which stochastic resonance is deliberately exploited within a bistable mechanical system for optimised energy harvesting. The condition for the occurrence of stochastic resonance is defined conventionally by the Kramers rate, and the modelling of a theoretical nonlinear oscillator driven by a small periodic modulating excitation and a harvestable noise source, which, together satisfy this condition, is developed in the paper. A novel experiment is also discussed which validates this particular form of stochastic resonance, showing that the response can indeed be amplified when the frequency of the weak periodic modulating excitation fulfills the correct occurrence condition. The experimental results indicate that the available power generated under this condition of stochastic resonance is noticeably higher than the power that can be collected under other harvesting conditions. 相似文献
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提出了一类8次势函数并讨论了其分岔特性,得到由左、右2个小尺度双稳势和中间势垒构成的对称四稳系统.建立了在周期力和随机力共同作用下四稳系统输出响应的近似解析表达式,并从能量角度引入功这一过程量来刻画大、小不同尺度双稳势之间的作功能力,发现四稳势中存在着双重随机共振现象.理论分析与数值仿真结果表明,当中间势垒高度大于左右2个小尺度双稳势的势垒高度时,四稳系统的响应随着噪声强度的变化由束缚在小尺度双稳系统中做小幅振动转变为跨越中间势垒的大幅振动,功随噪声强度的变化出现了双峰曲线,存在着双重随机共振,且小尺度随机共振能增强大尺度随机共振的效应. 相似文献
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<正>According to the characteristic structure of double wells in bistable systems,this paper analyses stochastic fluctuations in the single potential well and probability transitions between the two potential wells and proposes a method of controlling stochastic resonance by using a periodic signal.Results of theoretical analysis and numerical simulation show that the phenomenon of stochastic resonance happens when the time scales of the periodic signal and the noise-induced probability transitions between the two potential wells achieve stochastic synchronization.By adding a bistable system with a controllable periodic signal,fluctuations in the single potential well can be effectively controlled,thus affecting the probability transitions between the two potential wells.In this way,an effective control can be achieved which allows one to either enhance or realize stochastic resonance. 相似文献
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M.?Morillo J.?Gómez-Ordó?ez J. M.?Casado 《The European Physical Journal B - Condensed Matter and Complex Systems》2010,74(2):211-215
The global response to weak time periodic
forces of an array of noisy, coupled nonlinear systems might show a nonmonotonic dependence on the number of units in the
array. This
effect has been termed system size stochastic resonance by other authors. In this paper, we focus on a collective variable
of a finite array of one-dimensional globally coupled bistable elements. We analyze the possible nonmonotonic dependence on
the system size of its power spectral amplification and its signal-to-noise ratio. 相似文献
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Neiman A Schimansky-Geier L Moss F Shulgin B Collins JJ 《Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics》1999,60(1):284-292
We study, in terms of synchronization, the nonlinear response of noisy bistable systems to a stochastic external signal, represented by Markovian dichotomic noise. We propose a general kinetic model which allows us to conduct a full analytical study of the nonlinear response, including the calculation of cross-correlation measures, the mean switching frequency, and synchronization regions. Theoretical results are compared with numerical simulations of a noisy overdamped bistable oscillator. We show that dichotomic noise can instantaneously synchronize the switching process of the system. We also show that synchronization is most pronounced at an optimal noise level-this effect connects this phenomenon with aperiodic stochastic resonance. Similar synchronization effects are observed for a stochastic neuron model stimulated by a stochastic spike train. 相似文献