爆裂
联轴节(管道)
耦合强度
对角线的
状态变量
生物系统
控制理论(社会学)
相(物质)
物理
统计物理学
李雅普诺夫函数
拓扑(电路)
复杂系统
计算机科学
数学
非线性系统
神经科学
人工智能
量子力学
材料科学
控制(管理)
生物
凝聚态物理
冶金
几何学
组合数学
热力学
标识
DOI:10.1007/s10867-023-09635-1
摘要
We have analysed the synchronisation scenario and the rich spatiotemporal patterns in the network of Hindmarsh-Rose neurons under the influence of self, mixed and cross coupling of state variables which are realised by varying coupling phase. We have introduced a coupling matrix in the model to vary coupling phase. The excitatory and inhibitory couplings in the membrane potential induce in-phase and anti-phase bursting dynamics, respectively, in the two coupled system. When the off-diagonal elements of the matrix are zero, the system shows self coupling of the three variables, which helps to attain synchrony. The off-diagonal elements give cross interactions between the variables, which reduces synchrony. The stability of the synchrony attained is analysed using Lyapunov function approach. In our study, we found that self coupling in three variables is sufficient to induce chimera states in non-local coupling. The strength of incoherence and discontinuity measure validates the existence of chimera and multichimera states. The inhibitor self coupling in local interaction induces interesting patterns like Mixed Oscillatory State and clusters. The results may help in understanding the spatiotemporal communications of the brain, within the limitations of the size of the network analysed in this study.
科研通智能强力驱动
Strongly Powered by AbleSci AI