Investigation of Delay-Induced Hopf Bifurcation in a Fractional Neutral-Type Neural Network DOI Creative Commons
Shuai Li, Xinyu Song, Chengdai Huang

et al.

Fractal and Fractional, Journal Year: 2025, Volume and Issue: 9(3), P. 189 - 189

Published: March 19, 2025

This paper investigates stability switches induced by Hopf bifurcation in a fractional three-neuron network that incorporates both neutral time delay and communication delay, as well general structure. Initially, we simplified the characteristic equation eliminating trigonometric terms associated with purely imaginary roots, enabling us to derive conditions for while treating constant. The results reveal can drive stable equilibrium into instability once it exceeds threshold. Furthermore, performed sensitivity analysis identify order two most sensitive parameters influencing value illustrative example. Notably, contrast neural networks only retarded delays, our numerical observations show curve is non-monotonic, highlighting fixed exhibit eventually stabilize increases.

Language: Английский

Investigation of Delay-Induced Hopf Bifurcation in a Fractional Neutral-Type Neural Network DOI Creative Commons
Shuai Li, Xinyu Song, Chengdai Huang

et al.

Fractal and Fractional, Journal Year: 2025, Volume and Issue: 9(3), P. 189 - 189

Published: March 19, 2025

This paper investigates stability switches induced by Hopf bifurcation in a fractional three-neuron network that incorporates both neutral time delay and communication delay, as well general structure. Initially, we simplified the characteristic equation eliminating trigonometric terms associated with purely imaginary roots, enabling us to derive conditions for while treating constant. The results reveal can drive stable equilibrium into instability once it exceeds threshold. Furthermore, performed sensitivity analysis identify order two most sensitive parameters influencing value illustrative example. Notably, contrast neural networks only retarded delays, our numerical observations show curve is non-monotonic, highlighting fixed exhibit eventually stabilize increases.

Language: Английский

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