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91.
Complete synchronization of coupled Hindmarsh-Rose (HR) neurons with a ring structure is studied. The criterion for complete synchronization of coupled neurons with the ring structure is obtained through the stability analysis of the linearized synchronization error system. Numerical simulation is given to test the criterion for a system with three coupled HR neurons. 相似文献
92.
Complete Synchronization in Coupled Chaotic HR Neurons with Symmetric Coupling Schemes 总被引:1,自引:0,他引:1 下载免费PDF全文
Chaos synchronization in an array of coupled chaotic neurons with symmetric coupling is investigated. A criterion for the stability of the synchronization manifold is deduced by transforming the variational equation of the coupled system into a block diagonal one, and the critical coupling strengths for synchronization in different coupled cases are given. As examples for illustration, the HR neurons with the open-ended (i.e. chain), ring, star and all-to-all (i.e. global) coupling schemes are considered. It is shown that the coupling scheme plays an important role in synchronization and information transmission of neurons. 相似文献
93.
Planar motion for a rigid body with an elastic beam in a field of central gravitational force was investigated, and both of
the orbital motion and attitude motion were under consideration. The equations of motion of the system were derived by the
variational principle, and on view point of generalized Hamiltonian dynamics, the sufficient conditions for the stability
of one class of relative equilibria were given by the energymomentum method. 相似文献
94.
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96.
本文利用分叉理论研究一个含参数的有扩散不稳定性的四阶反应-扩散系统的空间周期结构问题,其中扩散项服从Cahn-Hillard广义扩散定律。首先通过稳定性和奇异性的分析得到从空间均匀定态产生空间周期定态的判别准则,然后利用奇异摄动方法获得这个空间周期定态的二阶近似解。本文的理论结果很好地符合文献[3]中的数值结果。
关键词: 相似文献
97.
Encoding information by firing patterns is one of the basic neural functions, and synchronization is important collective behaviour of a group of coupled neurons. Taking account of two schemes for encoding information (that is, rate coding and temporal coding), rhythm synchronization of coupled neurons is studied. There are two types of rhythm synchronization of neurons: spike and burst synchronizations. Firstly, it is shown that the spike synchronization is equivalent to the phase synchronization for coupled neurons. Secondly, the similarity function of the slow variables of neurons, which have relevant to the bursting process, is proposed to judge the burst synchronization. It is also found that the burst synchronization can be achieved more easily than the spike synchronization, whatever the firing patterns of the neurons are. Hence the temporal encoding scheme, which is closely related to both the spike and burst synchronizations, is more comprehensive than the rate coding scheme in essence. 相似文献
98.
本文利用奇异摄动的内、外解匹配方法,分析了各向异性时在相态场模型的边界层上表面张菌、法向速度、平均曲率和各向异性函数的影响,得到了各向异性时的Gibbs-Thompson关系,以及边界层所满足的方程。 相似文献
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100.
时变参数系统的非完全分岔及其在Duffing方程中的应用 总被引:2,自引:0,他引:2
提出新的方法从本质上研究时变参数系统的非完全分岔问题。通过建立时变参数系统的解的线性近似定理去分析时变分岔方程运动的分岔转迁滞后和跃迁现象。利用V函数预测分岔转迁值,将新方法应用于Duffing方程,获得一些新的分岔结果和关于解对初值和参数的敏感性结论。 相似文献