| Hodgkin-Huxley系统的渐进稳定性 |
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| 引用本文： | 李全国.Hodgkin-Huxley系统的渐进稳定性[J].纯粹数学与应用数学,2008,24(2). |
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| 作者姓名： | 李全国 |
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| 作者单位： | 暨南大学数学系,广东,广州,510632 |
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| 摘 要： | 用无穷维动力系统的方法研究了Hodgkin-Huxley神经脉冲传导系统的长时间行为.在齐次边界条件与非齐次边界条件证明了系统在其不变流形上的全局吸引子为系统在该不变流形内的唯一平衡点,从而证明了该系统的渐进稳定性.
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| 关 键 词： | Hodgkin-Huxley神经脉冲传导系统 平衡点 稳定性 |
The asymptotically stability of the Hodgkin-Huxley system |
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| LI Quan-guo.The asymptotically stability of the Hodgkin-Huxley system[J].Pure and Applied Mathematics,2008,24(2). |
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| Authors: | LI Quan-guo |
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| Institution: | LI Quan-guo (Department of Mathematics,Jinan University,guangzhou 510632,China) |
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| Abstract: | This paper has firstly studied the long time behaviour of the Hodgkin-Huxley system by the infinite dimensional dynamical systems method.At the same time we proved that the the global solution of Hodgkin- Huxley system is the unique equilibrium point in the invariant region (?).Under homogeneous boundary condition and nonhomogeneous boundary condition,then asymptotically stability of the system has been proved. |
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| Keywords: | Hodgkin-Huxley system equilibrium point stability |
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