General conditions for synchronization of pulse-coupled bursting neurons in complex networksG. X. Qi1, H. B. Huang1, H. J. Wang2, X. Zhang1 and L. Chen1
1 Department of Physics, Southeast University - Nanjing 210096, PRC
2 Department of Physics, Nanjing Xiaozhuang College - Nanjing 210017, PRC
received 9 December 2005; accepted in final form 15 March 2006
published online 7 April 2006
The synchronous dynamics of complex networks of pulse-coupled bursting neurons with heterogeneous coupling is studied. The results reveal that the generation and the stability of the completely synchronous state in such networks only depends on the input weight of each neuron, which is independent of the network structure. If the input weight is heterogenous in the networks, then a subgroup of bursting neurons, each having the same input weight, can be in almost completely synchronous states, and different subgroups with different input weights can be in burst synchronous states. The stability of this input weight determined synchronization is numerically studied by Lyapunov exponents, and the results show that the complete or burst synchronization in any complex neuronal networks is fully determined by the input weight of each neuron.
87.19.La - Neuroscience.
05.45.Xt - Synchronization; coupled oscillators.
© EDP Sciences 2006