Bifurcation Mechanisation of a Fractional-Order Neural Network with Unequal Delays

作者:Chengdai Huang, Jinde Cao

摘要

The theme of bifurcation for a class of fractional-order neural networks (FONNs) with unique delay has been incalculably elucidated. It exhibits that multiple delays are capable of increasing the complicacy of realistic FONNs, but this has been insufficiently probed into. This paper attempts to conduct a research on the stability and bifurcation for a FONN with two unequal delays. By intercalating one delay and taking remnant delay as a bifurcation parameter, the incongruent critical values of diverse delays-induced bifurcations are exactly gained. Eventually, confirmation experiments are offered to endorse the procured theory.

论文关键词:Unequal delays, Stability, Fractional order, Hopf bifurcation, Neural networks

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论文官网地址:https://doi.org/10.1007/s11063-020-10293-w