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1.
Phase Synchronization in Electrically Coupled Different Neuronal Pacemakers with the Chay Model 总被引:1,自引:0,他引:1 下载免费PDF全文
We study the phase synchronization in different electrically coupled neuronal pacemakers with the Chay model. The numerical simulation results and the definition of the mean frequency show that phase synchronization is equal to the mean frequency locking. Nearly complete synchronization of different two coupled neuronal pacemakers is also investigated. It is shown that the cross-correlation of the membrane potential variables is suitable to judge the nearly complete synchronization. 相似文献
2.
本文利用拟线性常微分方程解的非存在性定理得到了一类拟线性反应扩散方程(非牛顿渗流方程)爆破界的估计,从而推广了半线性反应扩散方程(牛顿渗流方程)相应结果. 相似文献
3.
本文研究一类含参数的非线性积分方程的分叉问题,其中的积分算子的线性化算子在分叉值点处有二维零空间。利用Liapunov-Schmidt约化方法和基于系统的对称性的群论方法,得到了周期分叉解存在的充分条件。 相似文献
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6.
Suppression of Chaos and Phase Locking in Two Coupled Nonidentical Neurons under Periodic Input 下载免费PDF全文
Dynamical behaviour of two coupled neurons with at least one of them being chaotic is presented. Bifurcation diagrams and Lyapunov exponents are calculated to diagnose the dynamical behaviour of the coupled neurons with the increasing coupling strength. It is found that when the coupling strength increases, a chaotic neuron can be controlled by the coupling between neurons. At the same time, phase locking is studied by the maxima of the differences of instantaneous phases and average frequencies between two coupled neurons, and the inherent connection of phase locking and the suppression of chaos is formulated. It is observed that the onset of phase locking is closely related to the suppression of chaos. Finally, a way for suppression of chaos in two coupled nonidentical neurons under periodic input is suggested. 相似文献
7.
Complete and phase synchronization in a heterogeneous small-world neuronal network 总被引:1,自引:0,他引:1 下载免费PDF全文
Synchronous firing of neurons is thought to be important for
information communication in neuronal networks. This paper
investigates the complete and phase synchronization in a
heterogeneous small-world chaotic Hindmarsh--Rose neuronal network.
The effects of various network parameters on synchronization
behaviour are discussed with some biological explanations. Complete
synchronization of small-world neuronal networks is studied
theoretically by the master stability function method. It is shown
that the coupling strength necessary for complete or phase
synchronization decreases with the neuron number, the node degree
and the connection density are increased. The effect of
heterogeneity of neuronal networks is also considered and it is
found that the network heterogeneity has an adverse effect on
synchrony. 相似文献
8.
Dynamical Effect of Calcium Pump on Cytosolic Calcium Bursting Oscillations with IP3 Degradation 下载免费PDF全文
Taking account of the Ca2+-activated degradation of inositol trisphosphate (IP3), a one pool model of cytosolic calcium oscillation is considered to investigate the effect of the calcium pump on the Ca2+ bursting oscillation behavior. In order to give the oscillation domain, a two-parameter bifurcation analysis of the fast subsystem is performed in the parameter plane. Different types of bursting are presented with the variation of the pump parameter, and fast-slow dynamics is used to analyze the types and generation mechanisms of the bursting oscillations. The results are instructive for understanding the role of the calcium pump played in complex intracellular calcium activities. 相似文献
9.
Neurons at rest can exhibit diverse firing activities
patterns in response to various external deterministic and random
stimuli, especially additional currents. In this paper, neuronal
firing patterns from bursting to spiking, induced by additional
direct and stochastic currents, are explored in rest states
corresponding to two values of the parameter $V_{\rm K}$ in the Chay
neuron system. Three cases are considered by numerical simulation
and fast/slow dynamic analysis, in which only the direct current
or the stochastic current exists, or the direct and
stochastic currents coexist. Meanwhile, several important bursting
patterns in neuronal experiments, such as the period-1
``circle/homoclinic" bursting and the integer multiple
``fold/homoclinic" bursting with one spike per burst, as well as
the transition from integer multiple bursting to period-1
``circle/homoclinic" bursting and that from stochastic
``Hopf/homoclinic" bursting to ``Hopf/homoclinic" bursting, are
investigated in detail. 相似文献
10.
在描写神经放电的理论模型(Cahy模型)中发现有位于加周期分岔过程中的混沌节律。利用So的非稳定周期轨道检测算法研究了位于周期2和周期3之间的混沌节律的非稳定周期轨道。结果发现,靠近周期2的混沌节律中只能检测出显著的非稳定周期2轨道,而靠近周期3的混沌节律中不仅可以检测出非稳定周期2轨道,还可以检测出非稳定周期3轨道;并且该非稳定周期2轨道位置与稳定周期2位置相似,非稳定周期3位置与稳定周期3位置类似。这表明,非稳定周期轨道在神经混放电节律的动力学起着重要作用;非稳定周期轨道的结构决定着混沌节律的特征,可以用来区分混沌节律。 相似文献