关键词: 同步性, 脑网络, 复杂网络, 李雅普诺夫稳定性

Abstract: The brain is one of nature’s most complex systems. As an important application of complex network theory in neuroscience, brain networks provide a new research direction in brain disease pathological mechanism. Synchronization has been regarded as an indicator affecting network performance, it has great impact on complex networks. In order to obtain sufficient criterion for complex synchronization of human brain network, 120 cases of alcoholism patients’brain network model are constructed using EEG kinetic equation. Then the synchronization based on Lyapunov stability theory has been certified in accordance with the constructed mode. And by making experiments on normal subjects and alcoholics, brain network synchronization status is calculated. It gives the alcohol patients and normal subjects’ synchronization status difference, which can reveal that how the alcohol abuse disorders impact on the functional structure of human brain and provide research ideas on other diseases.

Key words: synchronization, brain network, complex network, Lyapunov stability theory