| Phase Propagations in a Coupled Oscillator-Excitor System of FitzHugh-Nagumo Models |
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| 作者姓名： | 周路群 欧阳颀 |
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| 作者单位： | [1]School of Physics, Peking University, Beijing 100871 [2]The Beijing-Hong Kong-Singapóre Joint Center for Nonlinear and Complex System （PKU）, Peking University, Beijing 100871 |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant Nos 10335010 and 10274003, and the SRF for R0CS, SEM. |
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| 摘 要： | A one-dimensional array of 2N ＋ 1 automata with FitzHugh-Nagumo dynamics, in which one is set to be oscillatory and the others are excitable, is investigated with hi-directional interactions. We find that 1 ： 1 rhythm propagation in the array depends on the appropriate couple strength and the excitability of the system. On the two sides of the 1 ： 1 rhythm area in parameter space, two different kinds of dynamical behaviour of the pacemaker, i.e. phase-locking phenomena and canard-like phenomena, are shown. The latter is found in company with chaotic pattern and period doubling bifurcation. When the coupling strength is larger than a critical value, the whole system ends to a steady state.
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| 关 键 词： | 相传播 联系振荡器刺激神经系统 FitzHugh-Nagumo模型 数组 |
| 收稿时间： | 2006-02-17 |
| 修稿时间： | 2006-02-17 |
Phase Propagations in a Coupled Oscillator-Excitor System of FitzHugh-Nagumo Models |
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| ZHOU Lu-Qun, OUYANG Qi.Phase Propagations in a Coupled Oscillator-Excitor System of FitzHugh-Nagumo Models[J].Chinese Physics Letters,2006,23(7):1709-1712. |
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| Authors: | ZHOU Lu-Qun OUYANG Qi |
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