Chin. Phys. Lett.  2006, Vol. 23 Issue (7): 1709-1712    DOI:
Original Articles |
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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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.
Keywords: 05.45.Xt      87.19.Jj      05.65.+b     
Published: 01 July 2006
PACS:  05.45.Xt (Synchronization; coupled oscillators)  
  87.19.Jj  
  05.65.+b (Self-organized systems)  
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https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y2006/V23/I7/01709
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