Periodic solutions of discrete-time quaternion-valued BAM neural networks

DOI10.1016/J.CHAOS.2020.110144zbMath1490.68197OpenAlexW3043997110MaRDI QIDQ2122917

Xiaoluan Zhang, Donghua Li, Zhengqiu Zhang

Publication date: 7 April 2022

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2020.110144

zbMATH Keywords

global asymptotic stabilityexistence of periodic solutionsdiscrete-time quaternion-valued BAM networksinequality craftsmanships

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Exponential stability (93D23) Networked control (93B70)

Related Items (8)

Existence and global exponential stability of periodic solutions for feedback control complex dynamical networks with time-varying delays ⋮ Representation of solutions to linear quaternion differential equations with delay ⋮ Weyl almost periodic solutions of octonion-valued high-order fuzzy neural networks with delays ⋮ Adaptive quasi-synchronization analysis for Caputo delayed Cohen-Grossberg neural networks ⋮ Further investigation on bifurcation and their control of fractional‐order bidirectional associative memory neural networks involving four neurons and multiple delays ⋮ Lagrange stability criteria for hypercomplex neural networks with time varying delays ⋮ Bifurcation study on fractional-order Cohen-Grossberg neural networks involving delays ⋮ New stability criterion for fractional-order quaternion-valued neural networks involving discrete and leakage delays

Cites Work

• Existence and global exponential stability of a periodic solution to interval general bidirectional associative memory (BAM) neural networks with multiple delays on time scales
• Periodic solutions for quaternion-valued fuzzy cellular neural networks with time-varying delays
• Periodic solutions for complex-valued neural networks of neutral type by combining graph theory with coincidence degree theory
• Anti-periodic dynamics of quaternion-valued fuzzy cellular neural networks with time-varying delays on time scales
• Global asymptotic stability to a generalized Cohen-Grossberg BAM neural networks of neutral type delays
• Multistability analysis of delayed quaternion-valued neural networks with nonmonotonic piecewise nonlinear activation functions
• Stability analysis of quaternion-valued neural networks with both discrete and distributed delays
• Multistability and multiperiodicity in impulsive hybrid quaternion-valued neural networks with mixed delays
• Robust stability analysis of quaternion-valued neural networks with time delays and parameter uncertainties
• Global Mittag-Leffler stability and synchronization analysis of fractional-order quaternion-valued neural networks with linear threshold neurons
• Existence and global exponential stability of a periodic solution for a discrete-time interval general BAM neural networks
• EXISTENCE AND GLOBAL EXPONENTIAL STABILITY OF A PERIODIC SOLUTION TO DISCRETE-TIME COHEN-GROSSBERG BAM NEURAL NETWORKS WITH DELAYS
• NEW CONDITIONS ON EXISTENCE AND GLOBAL ASYMPTOTIC STABILITY OF PERIODIC SOLUTIONS FOR BAM NEURAL NETWORKS WITH TIME-VARYING DELAYS
• Stability analysis of quaternion‐valued Cohen‐Grossberg neural networks

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