同步(交流)
计算机科学
人工神经网络
网络分析
同步网络
运动(物理)
控制理论(社会学)
人工智能
电信
工程类
电气工程
控制(管理)
频道(广播)
作者
Wu Xiao,Fuhong Min,Haodong Li,Wei Shi
出处
期刊:IEEE Transactions on Circuits and Systems I-regular Papers
[Institute of Electrical and Electronics Engineers]
日期:2024-04-22
卷期号:71 (12): 5618-5627
被引量:7
标识
DOI:10.1109/tcsi.2024.3387560
摘要
The study on the dynamical behaviors of the coupled heterogeneous neural network, including bifurcation orbits, synchronization, especially unstable firing behaviors, may have great significance for diagnosis and guarding against brain diseases. To investigate this matter in depth, the discrete implicit mapping method can be employed for assessing the neural network, which is coupled with the Hindmarsh-Rose and FitzHugh-Nagumo neuron models in this paper. The bifurcation trees of periodic motions, exhibiting intricate dynamic behaviors, are precisely demonstrated by maniputing the coupling strength. The transitions from period-1 to period-8, period-3 to period-12, period-4 to period-16 and period-5 to period-10 will be achieved through saddle bifurcations and period doubling bifurcations. The corresponding stable firing patterns are observed through discrete nodes in phase diagrams, time-histories and deviations of the membrane potential diagrams. Meanwhile, the unstable firing patterns, using the particular method, are also obtained, which cannot be calculated through the numerical method due to its accumulative errors. Moreover, the synchronous and asynchronous behaviors depending on the coupling strength are successively revealed and described. Lastly, the experiment of the heterogeneous neural network is validated by the field-programmable gate array (FPGA) circuit. Such an investigation will also positively contribute to the development of the progress of brain medicine and life science and engineering.
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