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Phase Propagations in a Coupled Oscillator--Excitor System of FitzHugh--Nagumo Models |
| ZHOU Lu-Qun;OUYANG Qi |
| School of Physics, Peking University, Beijing 100871
The Beijing-Hong Kong-Singapóre Joint Center for Nonlinear and Complex System (PKU), Peking University, Beijing 100871 |
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| Cite this article: |
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ZHOU Lu-Qun, OUYANG Qi 2006 Chin. Phys. Lett. 23 1709-1712 |
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Abstract 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 bi-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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05.45.Xt
87.19.Jj
05.65.+b
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Published: 01 July 2006
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