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In this paper, the generalized synchronization of two unidirectionally coupled Ginzburg-Landau equations is studied theoretically. It is demonstrated that the drive-response system has bounded attraction domain and compact attractors. It is derived that the correction equation has asymptotically stable zero solutions under certain conditions and that the sufficient conditions for smooth generalized synchronization and Hölder continuous generalized synchronization exist in the coupling system. Numerical result analysis shows the correctness of theory. 相似文献
104.
Noise-induced synchronous stochastic oscillations small scale cultured heart-cell networks 下载免费PDF全文
Yuan Lan Liu Zhi-Qiang Zhang Hui-Min Ding Xue-Li Yang Ming-Hao Gu Hua-Guang Ren Wei 《中国物理 B》2011,(2):133-147
This paper reports that the synchronous integer multiple oscillations of heart-cell networks or clusters are observed in the biology experiment. The behaviour of the integer multiple rhythm is a transition between super- and sub- threshold oscillations, the stochastic mechanism of the transition is identified. The similar synchronized oscillations are theoretically reproduced in the stochastic network composed of heterogeneous cells whose behaviours are chosen as excitable or oscillatory states near a Hopf bifurcation point. The parameter regions of coupling strength and noise density that the complex oscillatory rhythms can be simulated are identified. The results show that the rhythm results from a simple stochastic alternating process between super- and sub-threshold oscillations. Studies on single heart cells forming these clusters reveal excitable or oscillatory state nearby a Hopf bifurcation point underpinning the stochastic alternation. In discussion, the results are related to some abnormal heartbeat rhythms such as the sinus arrest. 相似文献
105.
A new kind of nonlinear fractional-order chaotic phenomenon in coupled systems: coexistence of anti-phase and complete synchronization 下载免费PDF全文
In this paper, we have found a kind of interesting nonlinear phenomenon hybrid synchronization in linearly coupled fractional-order chaotic systems. This new synchronization mechanism, i.e., part of state variables are anti- phase synchronized and part completely synchronized, can be achieved using a single linear controller with only one drive variable. Based on the stability theory of the fractional-order system, we investigated the possible existence of this new synchronization mechanism. Moreover, a helpful theorem, serving as a determinant for the gain of the controller, is also presented. Solutions of coupled systems are obtained numerically by an improved Adams Bashforth-Moulton algorithm. To support our theoretical analysis, simulation results are given. 相似文献
106.
高频电压调制对同步运动的影响 总被引:2,自引:0,他引:2
从系统的扰动Hamiltonian出发, 在经典力学框架内小振幅近似下, 把粒子的纵向运动方程化为Mathieu方程, 指出了由于扰动的存在, 准等时同步加速器出现了一系列新的共振线。用摄动法导出了一阶不稳定区的边界曲线和禁带宽度; 指出了当粒子穿越禁带后的振幅与同步加速器的两个不稳定点相位相等时, 系统处于临界状态; 并由此导出了高频电压调制振幅的临界值。In the classical mechanics frame and small amplitude approximation, the longitudinal motion equation of the particle was reduced to the Mathieu equation based on the perturbed Hamiltonian. It was pointed out that there is a series of new resonance lines in quasi isochronous synchrotron by the perturbation. The boundary curve and the stop width for order instability zone one were derived by the method of perturbabtion. Also it was pointed that the system is at the critical point when the phase becomes equal to the phase of the instable point for the synchrotron after it crossed the stop band, and the critical condition of the high frequency voltage modulation was derived. 相似文献
107.
立体几何是高中数学的一个重要内容,这部分内容除了学习一些规则几何体的面积和体积公式外,重点是两种位置关系(平行和垂直)和两个度量性质(夹角和距离).在位置关系和度量性质的学习中,树立"转化"的思想方 相似文献
108.
2010年全国第21题:已知抛物线C∶y2=4x的焦点为F,过点K(-1,0)的直线l与C相交于A、B两点,点A关于x轴的对称点为D.(Ⅰ)证明:点F在直线BD上;(Ⅱ)略.本题的常规解法是:先设出直线l的方程, 相似文献
109.
2011年普通高等学校招生全国统一考试(安徽卷)中有一道这样的题目:在平面直角坐标系中,如果x和y都是整数,则称点(x,y)为整数,下列命题中正确的是:(1)存在这样的直线,既不与坐标轴平行又不经过任何整点; 相似文献
110.
在《普通高中数学课程标准》中明确指出高中数学课程应力求通过各种不同形式的自主学习、探究活动,让学生体验数学发现和创造的历程,发展他们的创新意识.圆锥曲线中椭圆、双曲线、抛物线三者的概念虽说有着本 相似文献