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Existence and global stability of periodic solution for delayed discrete high-order Hopfield-type neural networks - MaRDI portal

Existence and global stability of periodic solution for delayed discrete high-order Hopfield-type neural networks (Q2478620)

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Existence and global stability of periodic solution for delayed discrete high-order Hopfield-type neural networks
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    Existence and global stability of periodic solution for delayed discrete high-order Hopfield-type neural networks (English)
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    28 March 2008
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    Summary: By using coincidence degree theory as well as a priori estimates and Lyapunov functional, we study the existence and global stability of periodic solution for discrete delayed high-order Hopfield-type neural networks. We obtain some easily verifiable sufficient conditions to ensure that there exists a unique periodic solution, and all theirs solutions converge to such a periodic solution.
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    difference equation
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    coincidence degree theory
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    Lyapunov functional
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    global stability
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    periodic solution
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    discrete delayed high-order Hopfield-type neural network
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