| Citation: |
Yuntao Liu, Tianwei Zhang. PERIODIC DYNAMICS AND MEAN-SQUARE EXPONENTIAL CONVERGENCE OF NONLOCAL STOCHASTIC FUZZY BIDIRECTIONAL ASSOCIATIVE MEMORY LATTICE NEURAL NETWORKS[J]. Journal of Applied Analysis & Computation, 2023, 13(4): 1813-1836. doi: 10.11948/20220242
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PERIODIC DYNAMICS AND MEAN-SQUARE EXPONENTIAL CONVERGENCE OF NONLOCAL STOCHASTIC FUZZY BIDIRECTIONAL ASSOCIATIVE MEMORY LATTICE NEURAL NETWORKS
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Abstract
This paper firstly establishes the lattice model for nonlocal stochastic fuzzy bidirectional associative memory neural networks with reaction diffusions by employing a mix of the finite difference and Mittag-Leffler time Euler difference techniques. Secondly, the existence of a unique bounded periodic sequence solution in distribution and global mean-square exponential convergence to the achieved difference model are investigated. Some illustrative example is used to show the feasible of the works of the current paper.
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Keywords:
- Lattice /
- reaction diffusion /
- stochastic /
- finite difference /
- period
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References
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Yuntao Liu, Tianwei Zhang. PERIODIC DYNAMICS AND MEAN-SQUARE EXPONENTIAL CONVERGENCE OF NONLOCAL STOCHASTIC FUZZY BIDIRECTIONAL ASSOCIATIVE MEMORY LATTICE NEURAL NETWORKS[J]. Journal of Applied Analysis & Computation, 2023, 13(4): 1813-1836. doi: 10.11948/20220242
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Figure 1.
Periodic motion of
$ u_1^{\zeta}(\cdot) $ $ \zeta=2, 4 $ -
Figure 2.
Periodic motion of
$ u_2^{\zeta}(\cdot) $ $ \zeta=2, 4 $ -
Figure 3.
Periodic motion of
$ v^{\zeta}(\cdot) $ $ \zeta=2, 4 $ -
Figure 4.
Periodic motion of
$ u_1^{\zeta}(\cdot) $ $ \zeta=0, 0.5, \ldots, 5 $ -
Figure 5.
Periodic motion of
$ u_2^{\zeta}(\cdot) $ $ \zeta=0, 0.5, \ldots, 5 $ -
Figure 6.
Periodic motion of
$ v^{\zeta}(\cdot) $ $ \zeta=0, 0.5, \ldots, 5 $ -
Figure 7.
$ \lambda $ $ u_1^{\zeta}(\cdot) $ $ \zeta=0, 0.5, \ldots, 5 $ -
Figure 8.
$ \lambda $ $ u_2^{\zeta}(\cdot) $ $ \zeta=0, 0.5, \ldots, 5 $ -
Figure 9.
$ \lambda $ $ v^{\zeta}(\cdot) $ $ \zeta=0, 0.5, \ldots, 5 $