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Stability and bifurcations of a neutral-type fractional-order neural network under Cramer’s rule
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DOI：10.1007/s11071-026-12769-1.png)
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Abstract
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The issues concerning bifurcations of a neutral-type fractional-order neural network (NTFONN) with leakage delays are intensely researched in the present paper. In the first place, a fractional-order neural network with neutral terms is constructed. Secondly, by using Cramer $$'$$ s rule, the conditions of Hopf bifurcations are carefully established. Then, it demonstrates that the stability performance of NTFONN can transcend the corresponding integer-order case. It further reveals that the convergence time is relatively shorter of NTFONN than ordinary fractional-order neural network by properly selecting the coefficients of neutral connections. Conclusively, the availability of the developed theory is displayed by means of numerical simulations.
Keywords:
Stability
Hopf bifurcation
Neutral delay
Cramer\('\)s rule
Fractional-order neural networks
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6
Papers:
1.4W
Citations:
4.1W
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