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Aouiti C, Jallouli H, Zhu Q, Huang T, Shi K. New Results on Finite/Fixed-Time Stabilization of Stochastic Second-Order Neutral-Type Neural Networks with Mixed Delays. Neural Process Lett 2022. [DOI: 10.1007/s11063-022-10868-9] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/06/2023]
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Achouri H, Aouiti C. Dynamical behavior of recurrent neural networks with different external inputs. INT J BIOMATH 2021. [DOI: 10.1142/s1793524522500103] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
The main aim of this paper is to study the dynamics of a recurrent neural networks with different input currents in terms of asymptotic point. Under certain circumstances, we studied the existence, the uniqueness of bounded solutions and their homoclinic and heteroclinic motions of the considered system with rectangular currents input. Moreover, we studied the unpredictable behavior of the continuous high-order recurrent neural networks and the discrete high-order recurrent neural networks. Our method was primarily based on Banach’s fixed-point theorem, topology of uniform convergence on compact sets and Gronwall inequality. For the demonstration of theoretical results, we give examples and their numerical simulations.
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Affiliation(s)
- Houssem Achouri
- Department of Mathematics, Faculty of Sciences of Bizerta, University of Carthage, GAMA Laboratory LR21ES10, BP W 7021 Zarzouna, Bizerta, Tunisia
| | - Chaouki Aouiti
- Department of Mathematics, Faculty of Sciences of Bizerta, University of Carthage, GAMA Laboratory LR21ES10, BP W 7021 Zarzouna, Bizerta, Tunisia
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