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111.
神经元动力系统的随机共振现象 总被引:2,自引:0,他引:2
本文首先简单介绍了随机共振和随机自共振的概念、物理意义、理论模型和实验验证。在此基础上。着重对高度非线性的神经系统电活动的随机共振现象进行了介绍。内容包括神经元动力系统的非线性、神经元随机共振、随机自共振的实验和理论解释。 相似文献
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114.
odgkin—Huxley方程的Hopf分岔的研究 总被引:1,自引:0,他引:1
数值计算发现Hodgkin-huxley(HH)方程中存在亚临界Hopf分岔。对HH方程进行具体分析,得到简化HH方程用规范型(normal form)理论对简化HH进行定一性分析,发现简化HH方程反映了HH方程的分岔性态。 相似文献
115.
We investigate the synchronization ability of four types of regular coupled networks. By introducing the proper error variables and Lyapunov functions, we turn the stability of synchronization manifold into that of null solution of error equations, further, into the negative definiteness of some symmetric matrices, thus we get the sufficient synchronization stability conditions. To test the valid of the results, we take the Chua's circuit as an example. Although the theoretical synchronization thresholds appear to be very conservative, they provide new insights about the influence of topology and scale of networks on synchronization, and that the theoretical results and our numerical simulations are consistent. 相似文献
116.
Phase synchronization and its bursting neurons: theoretical transition in two coupled and numerical analysis
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It is crucially important to study different synchronous regimes in coupled neurons because different regimes may correspond to different cognitive and pathological states. In this paper, phase synchronization and its transitions are discussed by means of theoretical and numerical analyses. In two coupled modified Morris-Lecar neurons with a gap junction, we show that the occurrence of phase synchronization can be investigated from the dynamics of phase equation, and the analytical synchronization condition is derived. By defining the phase of spike and burst, the transitions from burst synchronization to spike synchronization and then toward nearly complete synchronization can be identified by bifurcation diagrams, the mean frequency difference and time series of neurons. The simulation results suggest that the synchronization of bursting activity is a multi-time-scale phenomenon and the phase synchronization deduced by the phase equation is actually spike synchronization. 相似文献
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陆启韶 《应用数学和力学(英文版)》1987,8(11):1045-1056
A more general kind of nonlinear evolution equations with integral operators is discussed in order to study the spatially
periodic static bifurcating solutions and their stability. At first, the necessary condition and the sufficient condition
for the existence of bifurcation are studied respectively. The stability of the equilibrium solutions is analyzed by the method
of semigroups of linear operators. We also obtain the principle of exchange of stability in this case. As an example of application,
a concrete result for a special case with integral operators of exponential type is presented.
This work was supported by the Chinese National Foundation of Natural Science 相似文献
119.
非线性动力学在心脏电活动研究中的应用 总被引:5,自引:0,他引:5
本文介绍了非线性动力学在心脏电活动研究中的应用。主要内容包括非线性分析指标、心率变异非线性分析、异常心率(心室振颤)的非线性分析、心脏细胞动作电位模型中的搏动节律的分叉与混沌现象及机理、混沌控制在心脏电活动研究中的应用,并对今后发展方向提出了展望。非线性动力学分析方法是研究心脏电活动的良好工具,使得解决心脏电活动中的难题成为可能。 相似文献
120.
IntroductionIn1973,Winfrefirstdiscoveredthethre_dimensionalscrolwaveintheBelousov_Zhabotinskyreagent.In1983,Welshshowedtheexi... 相似文献