对称电耦合连接方式下的多尺度同步行为的转迁过程
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国家自然科学基金资助项目(11002073,10872014)


Multi-time-scale synchronization and transitions with symmetrical and electrical
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    摘要:

    本文研究了改进的ML神经元模型在环式和链式两种对称连接结构下的多尺度同步转迁过程.通过定义峰相位、簇相位、网络的平均峰频率差和平均簇频率差,发现随着耦合强度的增加,耦合神经元从互不相关到簇同步再到峰同步过渡,最后达到几乎完全同步.簇同步和峰同步属于相位同步的两种节律类型,对应慢时间尺度的簇同步通常先于对应快时间尺度的峰同步出现,且这两种节律同步模式互不包含,在一定耦合强度范围内可以共存.此外,借助膜电位的峰峰间期放电序列的分岔图,可观察到同步转迁过程中出现的复杂放电模式和分岔结构.

    Abstract:

    This paper studied the multitimescale synchronization and transitions of symmetrically coupled modified ML neurons with chain and ring coupling schemes. By defining the functions of spike phase, burst phase, mean frequency difference of spike and burst, we find that, with the increase of coupling strength, the coupled neurons can transit from irrelevancy to burst synchronization, then to spike synchronization and finally to a nearly complete synchronized state. Burst and spike synchronization belong to phase synchronization, and spike synchronization corresponding to the fast time scale may take place before burst synchronization, which corresponds to the slow time scale. Moreover, these two forms of rhythm synchronization don’t involve each other, but may coexist within certain limits of coupling strength. Besides, with the help of ISIs bifurcations, some complex firing patterns and bifurcations can be found during the synchronization transitions.

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王海侠,陆启韶.对称电耦合连接方式下的多尺度同步行为的转迁过程[J].动力学与控制学报,2011,9(3):214~218; Wang Haixia, Lu Qishao. Multi-time-scale synchronization and transitions with symmetrical and electrical[J]. Journal of Dynamics and Control,2011,9(3):214-218.

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  • 收稿日期:2010-12-19
  • 最后修改日期:2011-04-07
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