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In this paper, the effects of a bistable potential function U(x)=-ax2/2+b|x|2γ/(2γ) on stochastic resonance (SR) is discussed. We investigate the effects of index γ on the performance of the SR system with fixed parameters a and b, and with fixed potential barriers, respectively. To measure the performance of the SR system in the presence of an aperiodic input, the bit error rate is employed, as is commonly used in binary communications. The numerical simulations strongly support the theoretical results. The goal of this investigation is to explore the effects of the shape of potential functions on SR and give a guidance of nonlinear systems in the application of information processing. 相似文献
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We develop a model of CA3 neurons embedded in a resistive array to mimic the effects of electric fields from a new perspective. Effects of DC and sinusoidal electric fields on firing patterns in CA3 neurons are investigated in this study. The firing patterns can be switched from no firing pattern to burst or from burst to fast periodic firing pattern with the increase of DC electric field intensity. It is also found that the firing activities are sensitive to the frequency and amplitude of the sinusoidal electric field. Different phase-locking states and chaotic firing regions are observed in the parameter space of frequency and amplitude. These findings are qualitatively in accordance with the results of relevant experimental and numerical studies. It is implied that the external or endogenous electric field can modulate the neural code in the brain. Furthermore, it is helpful to develop control strategies based on electric fields to control neural diseases such as epilepsy. 相似文献
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红外CT模拟在混凝土板内部缺陷探测中的应用 总被引:1,自引:0,他引:1
红外成像技术采用非接触式检测方法,对结构内部缺陷进行实时、快速大面积扫描探测,作为无损检测领域一项新的技术在土木工程中得到越来越广泛的应用。但是,这种技术的主要缺点是只能通过成像技术显示缺陷表面状况,却无法获知缺陷深度和厚度。本文以一维有缺陷混凝土板为研究对象,采用有限差分法对混凝土板进行热传导数值模拟分析,获得每一点物体表面温度差与缺陷深度及其厚度的非线性对应关系。在此基础上,采用人工神经网络算法,实现对混凝土板内部缺陷的三维重构,即红外CT模拟。本文提出的方法可以同时获得缺陷深度和厚度,并适用于任意形状的缺陷。 相似文献
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LIMITED MEMORY BFGS METHOD FOR NONLINEAR MONOTONE EQUATIONS 总被引:2,自引:0,他引:2
Weijun Zhou Donghui Li 《计算数学(英文版)》2007,25(1):89-96
In this paper, we propose an algorithm for solving nonlinear monotone equations by combining the limited memory BFGS method (L-BFGS) with a projection method. We show that the method is globally convergent if the equation involves a Lipschitz continuous monotone function. We also present some preliminary numerical results. 相似文献
80.
Musheng Wei Qiaohua Liu 《计算数学(英文版)》2007,25(5):595-619
Recently, Wei in proved that perturbed stiff weighted pseudoinverses and stiff weighted least squares problems are stable, if and only if the original and perturbed coefficient matrices A and A^- satisfy several row rank preservation conditions. According to these conditions, in this paper we show that in general, ordinary modified Gram-Schmidt with column pivoting is not numerically stable for solving the stiff weighted least squares problem. We then propose a row block modified Gram-Schmidt algorithm with column pivoting, and show that with appropriately chosen tolerance, this algorithm can correctly determine the numerical ranks of these row partitioned sub-matrices, and the computed QR factor R^- contains small roundoff error which is row stable. Several numerical experiments are also provided to compare the results of the ordinary Modified Gram-Schmidt algorithm with column pivoting and the row block Modified Gram-Schmidt algorithm with column pivoting. 相似文献