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
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
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.
ZHOU Lu-Qun;OUYANG Qi. Phase Propagations in a Coupled Oscillator--Excitor System of FitzHugh--Nagumo Models[J]. 中国物理快报, 2006, 23(7): 1709-1712.
ZHOU Lu-Qun, OUYANG Qi. Phase Propagations in a Coupled Oscillator--Excitor System of FitzHugh--Nagumo Models. Chin. Phys. Lett., 2006, 23(7): 1709-1712.
2006, Vol. 23 
