欢迎您！东篱公司
退出
-
申报数据库
-
立项数据库
-
成果数据库
-
项目获奖数据库
中文摘要：
研究了2个双向电突触耦合的完全相同的Hindmarsh-Rose神经元模型的完全同步问题，电突触耦合是神经元之间用于通讯的主要方式之一，它的最大功能是使神经元集群发生同步放电活动．以往对于耦合神经系统同步的研究，大多是利用数值方法，缺乏确凿的理论依据，对于多个神经元耦合的情形，也没有有效的方法．提出了2种判断完全同步的新方法——李雅普诺夫函数法和模式分解法，与传统的条件李雅普诺夫指数方法只能给出完全同步发生的必要条件相比，得到同步发生的充要条件和充分条件，并给出严格的理论证明．方法可应用到多个振子耦合和非对称耦合的系统中．计算机数值模拟对方法的有效性进行了验证．
英文摘要：
Complete synchronization of two mutually coupled identical chaotic Hindmarsh-Rose neurons model with gap junction was studied. Gap junction is also called electrical coupling, it acts as one of the main communications between neurons in nervous systems, its most important role is to make a large ensembles of neurons emit synchronous firing rhythm patterns. The traditional method to investigate complete synchronization was using numerical simulations, such as the conditional Lyapunov exponents, but it was lack of theoretical foundation and can only offer us a necessary condition to guarantee the occurrence of complete synchronization. Based on the conditional Lyapunov exponents method, synchronization of more coupled neurons is hard to be studied. So two new methods of Lyapunov function method and mode decomposition method here was introduced, and if and only if condition and the sufficient condition will be given. These methods are efficient to deal with more coupled neurons and nonsymmetrical coupling schemes, the validity of them was tested by numerical simulation.
同期刊论文项目
同项目期刊论文
Stochastic synchronization and aperiodic stochastic resonance of an unidirectionally coupled single-
A further insight into stochastic resonance in an integrate-and-fire neuron with noisy periodic inpu
A general criterion of synchronization stability in ensembles of coupled systems and its application
The spike order of the winnerless competition (WLC) model and its application to the inhibition neur
Observing nonlinear stochastic resonance with piecewise constant driving forces by the method of mom
A study on stochastic resonance of one-diimentional bistable system in the neighborhood of bifurcati
Fourier spectral approximation to long-time behaviour of the derivative three-dimensional Ginzburg-L
Subthreshold stimulus-aided temporal order and synchronization in a square lattice noisy neuronal ne
The correspondence between stochastic resonance and the bifurcation of the moment equations of noisy
Two different bifurcation scenarios in neural firing rhythms discovered in biological experiments by
Dynamics of firing patterns, synchronization and resonances in neuronal electrical activities: exper
A method for calculating the spectrum of Lyapunov exponents by local maps in non-smooth impact-vibra
期刊信息
位置：