Ghasemi Esfahani Zahra, Valizadeh Alireza
Institute for Advanced Studies in Basic Sciences, Zanjan, Iran.
PLoS One. 2014 Dec 8;9(12):e112688. doi: 10.1371/journal.pone.0112688. eCollection 2014.
A novel proposal for the zero-lag synchronization of the delayed coupled neurons, is to connect them indirectly via a third relay neuron. In this study, we develop a Poincaré map to investigate the robustness of the synchrony in such a relay system against inhomogeneity in the neurons and synaptic parameters. We show that when the inhomogeneity does not violate the symmetry of the system, synchrony is maintained and in some cases inhomogeneity enhances synchrony. On the other hand if the inhomogeneity breaks the symmetry of the system, zero lag synchrony can not be preserved. In this case we give analytical results for the phase lag of the spiking of the neurons in the stable state.
一种关于延迟耦合神经元零延迟同步的新颖提议是，通过第三个中继神经元间接连接它们。在本研究中，我们开发了一个庞加莱映射来研究这种中继系统中同步性针对神经元和突触参数不均匀性的鲁棒性。我们表明，当不均匀性不破坏系统的对称性时，同步性得以维持，并且在某些情况下不均匀性会增强同步性。另一方面，如果不均匀性破坏了系统的对称性，则无法保持零延迟同步。在这种情况下，我们给出了稳定状态下神经元放电相位滞后的分析结果。
