Dynamics of delayed cellular neural networks in the Stepanov pseudo almost automorphic space

DOI10.3934/dcdss.2022136OpenAlexW4285215613MaRDI QIDQ2090495

M. Es-saiydy, Mohammed Zarhouni, Mohamed Zitane, Cao, Jinde, Adnene Arbi

Publication date: 25 October 2022

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2022136

zbMATH Keywords

cellular neural networksdelaysglobal exponential stabilityStepanov-like pseudo almost automorphy solution

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Stability theory of functional-differential equations (34K20) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Related Items

Stepanov stability for delayed Lotka–Volterra recurrent neural networks on time scales ⋮ Weyl almost periodic solutions of octonion-valued high-order fuzzy neural networks with delays ⋮ Pseudo almost periodic synchronization of OVCNNs with time-varying delays and distributed delays on time scales ⋮ Stepanov Eberlein almost periodic functions and applications

Cites Work

• Global convergence of neural networks with mixed time-varying delays and discontinuous neuron activations
• Existence and global exponential stability of pseudo almost periodic solutions for neutral type quaternion-valued neural networks with delays in the leakage term on time scales
• Pseudo almost periodic solutions for some parabolic evolution equations with Stepanov-like pseudo almost periodic forcing terms
• Existence and exponential stability of pseudo almost automorphic solutions for Cohen-Grossberg neural networks with mixed delays
• Dynamic behavior of a class of delayed Lotka-Volterra recurrent neural networks on time scales
• Stability of traveling waves solutions for nonlinear cellular neural networks with distributed delays
• Novel traveling waves solutions for nonlinear delayed dynamical neural networks with leakage term
• On almost automorphic solutions for cellular neural networks with time-varying delays in leakage terms on time scales1
• Quaternionic analysis
• Stabilization of Stochastic Nonlinear Delay Systems With Exogenous Disturbances and the Event-Triggered Feedback Control
• Exponential Stability of Nonlinear Systems With Delayed Impulses and Applications
• Dynamics of BAM neural networks with mixed delays and leakage time‐varying delays in the weighted pseudo–almost periodic on time‐space scales
• Lyapunov Stability for Impulsive Systems via Event-Triggered Impulsive Control
• Almost anti-periodic solution of inertial neural networks with leakage and time-varying delays on timescales
• Unnamed Item
• Unnamed Item
• Unnamed Item