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Manivannan R, Cao Y, Chong KT. Unified dissipativity state estimation for delayed generalized impulsive neural networks with leakage delay effects. Knowl Based Syst 2022. [DOI: 10.1016/j.knosys.2022.109630] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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Abstract
This paper expounds the bifurcations of two-delayed fractional-order neural networks (FONNs) with multiple neurons. Leakage delay or communication delay is viewed as a bifurcation parameter, stability zones and bifurcation conditions with respect to them are commendably established, respectively. It declares that both leakage delay and communication delay immensely influence the stability and bifurcation of the developed FONNs. The explored FONNs illustrate superior stability performance if selecting a lesser leakage delay or communication delay, and Hopf bifurcation generates once they overstep their critical values. The verification of the feasibility of the developed analytic results is implemented via numerical experiments.
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Affiliation(s)
- Chengdai Huang
- School of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, P. R. China
| | - Jinde Cao
- School of Mathematics, Southeast University, Nanjing 210096, P. R. China
- Yonsei Frontier Lab, Yonsei University, Seoul 03722, South Korea
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Bifurcations Induced by Self-connection Delay in High-Order Fractional Neural Networks. Neural Process Lett 2021. [DOI: 10.1007/s11063-020-10395-5] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/17/2023]
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Almost periodic solutions of quaternion-valued neutral type high-order Hopfield neural networks with state-dependent delays and leakage delays. APPL INTELL 2020. [DOI: 10.1007/s10489-020-01634-2] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/05/2023]
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