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131.
Phase synchronization and its transition in two coupled bursting neurons: theoretical and numerical analysis 下载免费PDF全文
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
132.
在自动控制等工程问题中,液压气动技术有着广泛的应用.因此,液压管道动态特性的研究有着十分重要的意义.液压管道脉动流问题在数学上是两个自变量的一阶拟线性双曲型偏微分方程组的初边值问题.但是,目前国内外大都采用数值解法或线性化方法,它们不能对非线性波动作出比较完整的定性理论分析.这里,我们应用数学解析的方法,对于液压管道脉动流中的非线性波与间断问题作一些初步的研讨. 相似文献
133.
Average Synchronization and Temporal Order in a Noisy Neuronal Network with Coupling Delay 下载免费PDF全文
Average synchronization and temporal order characterized by the rate of firing are studied in a spatially extended network system with the coupling time delay, which is locally modelled by a two-dimensional Rulkov map neuron. It is shown that there exists an optimal noise level, where average synchronization and temporal order are maximum irrespective of the coupling time delay. Furthermore, it is found that temporal order is weakened when the coupling time delay appears. However, the coupling time delay has a twofold effect on average synchronization, one associated with its increase, the other with its decrease. This clearly manifests that random perturbations and time delay play a complementary role in synchronization and temporal order. 相似文献
134.
A direct-current-direct-current (DC-DC) buck converter with integrated load current feedback is studied with three kinds of Poincaré maps. The external corner-collision bifurcation occurs when the crossing number per period varies, and the internal corner-collision bifurcations occur along with period-doubling and period-tripling bifurcations in this model. The multi-band chaos roots in external corner-collision bifurcation and often grows into 1-band chaos. A new kind of chaotic sliding orbits, which is more complex for non-smooth systems, is also found in this model. 相似文献
135.