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Multi-Type Synchronization for Second-Order Memristive Neural Networks with Mixed Time-Varying Delays. Neural Process Lett 2022. [DOI: 10.1007/s11063-022-10962-y] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/16/2022]
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Centralized and decentralized controller design for synchronization of coupled delayed inertial neural networks via reduced and non-reduced orders. Neurocomputing 2022. [DOI: 10.1016/j.neucom.2021.10.053] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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Aouiti C, Bessifi M. Non-chattering quantized control for synchronization in finite–fixed time of delayed Cohen–Grossberg-type fuzzy neural networks with discontinuous activation. Neural Comput Appl 2021. [DOI: 10.1007/s00521-021-06253-7] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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Ren F, Jiang M, Xu H, Fang X. New finite-time synchronization of memristive Cohen–Grossberg neural network with reaction–diffusion term based on time-varying delay. Neural Comput Appl 2021. [DOI: 10.1007/s00521-020-05259-x] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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Periodically intermittent control for finite-time synchronization of delayed quaternion-valued neural networks. Neural Comput Appl 2020. [DOI: 10.1007/s00521-020-05417-1] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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Achouri H, Aouiti C, Hamed BB. Bogdanov–Takens Bifurcation in a Neutral Delayed Hopfield Neural Network with Bidirectional Connection. INT J BIOMATH 2020. [DOI: 10.1142/s1793524520500497] [Citation(s) in RCA: 12] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
In this paper, a neutral Hopfield neural network with bidirectional connection is considered. In the first step, by choosing the connection weights as parameters bifurcation, the critical point at which a zero root of multiplicity two occurs in the characteristic equation associated with the linearized system. In the second step, we studied the zeros of a third degree exponential polynomial in order to make sure that except the double zero root, all the other roots of the characteristic equation have real parts that are negative. Moreover, we find the critical values to guarantee the existence of the Bogdanov–Takens bifurcation. In the third step, the normal form is obtained and its dynamical behaviors are studied after the use of the reduction on the center manifold and the theory of the normal form. Furthermore, for the demonstration of our results, we have given a numerical example.
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Affiliation(s)
- Houssem Achouri
- University of Carthage, Faculty of Sciences of Bizerte, Department of Mathematics, Research Units of Mathematics and Applications UR13ES47, BP W, 7021 Zarzouna, Bizerte, Tunisia
| | - Chaouki Aouiti
- University of Carthage, Faculty of Sciences of Bizerte, Department of Mathematics, Research Units of Mathematics and Applications UR13ES47, BP W, 7021 Zarzouna, Bizerte, Tunisia
| | - Bassem Ben Hamed
- Ecole Nationale d’Electronique et des Télécommunications de Sfax, Technopôle El Ons, Route de Tunis km 10, BP 1163, 3021 Sfax, Tunisia
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Further study on finite-time synchronization for delayed inertial neural networks via inequality skills. Neurocomputing 2020. [DOI: 10.1016/j.neucom.2019.09.034] [Citation(s) in RCA: 42] [Impact Index Per Article: 10.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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Zhang Z, Zheng T, Yu S. Finite-time anti-synchronization of neural networks with time-varying delays via inequality skills. Neurocomputing 2019. [DOI: 10.1016/j.neucom.2019.05.012] [Citation(s) in RCA: 15] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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