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- W4214621764 abstract "<abstract><p>We explore the existence and asymptotic stability of equilibrium point for a class of quaternion-valued BAM neural networks with time-varying delays. Firstly, by employing Homeomorphism theorem and a contradictory method with novel analysis skills, a criterion ensuring the existence of equilibrium point of the considered quaternion-valued BAM neural networks is acquired. Secondly, by constructing two Lyapunov functionals, a criterion assuring the global asymptotic stability of equilibrium point for above discussed quaternion-valued BAM is presented. Applying a contradictory method to study the equilibrium point and applying two Lyapunov functionals to study stability of equilibrium point are completely new methods.</p></abstract>" @default.
- W4214621764 created "2022-03-02" @default.
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- W4214621764 date "2022-01-01" @default.
- W4214621764 modified "2023-09-25" @default.
- W4214621764 title "Asymptotic stability for quaternion-valued BAM neural networks via a contradictory method and two Lyapunov functionals" @default.
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- W4214621764 doi "https://doi.org/10.3934/math.2022457" @default.
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