高等学校化学学报

高等学校化学学报 ›› 2009, Vol. 30 ›› Issue (4): 789.

• 研究论文 • 上一篇    下一篇

单向耦合Hindmarsh-Rose系统的同步

李纪, 李前树   

  1. 北京理工大学化学物理研究所, 北京 100081
  • 收稿日期:2008-02-13 出版日期:2009-04-10 发布日期:2009-04-10
  • 通讯作者: 李前树, E-mail:qsli@bit.edu.cn
  • 基金资助:

    国家自然科学基金(批准号: 20433050)和国家“111”计划(批准号: B07012)资助.

Synchronization in Unidirectional Coupled Hindmarsh-Rose System

LI Ji, LI Qian-Shu*   

  1. The Institute for Chemical Physics, Beijing Institute of Technology, Beijing 100081, China
  • Received:2008-02-13 Online:2009-04-10 Published:2009-04-10
  • Contact: LI Qian-Shu, E-mail:qsli@bit.edu.cn

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摘要：

采用数值模拟方法, 研究了由两个具有不同初始条件单向耦合的Hindmarsh-Rose神经元所组成系统的动力学行为. 研究结果表明, 耦合强度对两个神经元的同步具有重要的影响. 当两个神经元的控制参数取值不同时, 即在驱动系统和响应系统均处于混沌态及驱动系统处于周期振荡态, 响应系统处于混沌态两种情况下, 随耦合强度的增加其放电活动都能从不同步达到相位同步, 最后实现近似完全同步.

关键词: Hindmarsh-Rose模型, 单向耦合, 神经系统, 同步

Abstract:

The dynamic behavior of two unidirectional coupled Hindmarsh-Rose neurons under different initial conditions were numerically studied. The results show that coupling strength has important influence on synchronization between the two neurons. When control parameters are different, that is, the drive system and the response system are both chaotic and the drive system is periodic oscillating while the response system is chaotic, under these two cases, the firings of the drive system and the response system both can transition from asynchrony to phase synchronization, and then to almost complete synchronization with the increase of coupling strength.

Key words: Hindmarsh-Rose model, Unidirectional coupling, Neural system, Synchronization

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