Erichsen R, Brunnet L G
Instituto de Física, Universidade Federal do Rio Grande do Sul, Caixa Postal 15051, 91501-970 Porto Alegre, RS, Brazil.
Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Dec;78(6 Pt 1):061917. doi: 10.1103/PhysRevE.78.061917. Epub 2008 Dec 18.
We investigate the dynamical states of a two-dimensional network of Hindmarsh-Rose spiking neurons, in the vicinity of the current threshold where the single neuron becomes active. Each neuron is electrically coupled with neurons in its close neighborhood. The existence of multistable synchronization states is established and discussed. We also show that, provided adequate initial conditions, the collective behavior is able to keep the network in activity, even for current values far below the activity threshold of the single neuron. A phase diagram of the different network states is presented for a large interval of the coupling-current parameter space.
我们研究了二维 Hindmarsh-Rose 脉冲神经元网络在单个神经元开始活跃的电流阈值附近的动力学状态。每个神经元与其附近的神经元存在电耦合。我们建立并讨论了多稳态同步状态的存在性。我们还表明，在适当的初始条件下，即使电流值远低于单个神经元的活动阈值，集体行为也能够使网络保持活跃状态。针对耦合电流参数空间的一个大区间，给出了不同网络状态的相图。
