Dynamic behavior of a class of delayed Lotka-Volterra recurrent neural networks on time scales

DOI10.3103/S1066369X21110074zbMath1486.34161OpenAlexW4200020057MaRDI QIDQ2066430

M. Es-saiydy, Mohamed Zitane

Publication date: 14 January 2022

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x21110074

zbMATH Keywords

global stabilitytime scaleBochner-like transformLotka-Volterra recurrent neural networkweighted Stepanov-like pseudo almost periodic solution

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Population dynamics (general) (92D25) Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Stability theory of functional-differential equations (34K20) Applications of operator theory to differential and integral equations (47N20) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60) Dynamic equations on time scales or measure chains (34N05) Functional-differential equations on time scales or measure chains (34K42)

Related Items

Stepanov stability for delayed Lotka–Volterra recurrent neural networks on time scales, Dynamics analysis of delayed fuzzy Clifford-valued model: a case of Equi-Weyl almost periodic environment, Permanence and stability of multi-species nonautonomous Lotka--Volterra competitive systems with delays and feedback controls on time scales, Unnamed Item, Dynamics of delayed cellular neural networks in the Stepanov pseudo almost automorphic space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A non-autonomous Hamiltonian system on time scales
• Global stability of complex-valued neural networks on time scales
• Novel global stability criteria for high-order Hopfield-type neural networks with time-varying delays
• Relatively dense sets, corrected uniformly almost periodic functions on time scales, and generalizations
• Anti-periodic dynamics of quaternion-valued fuzzy cellular neural networks with time-varying delays on time scales
• Stepanov-like pseudo almost periodic functions on time scales and applications to dynamic equations with delay
• The pseudo almost periodic solutions of the new class of Lotka-Volterra recurrent neural networks with mixed delays
• Homoclinic orbits and periodic solutions for a class of Hamiltonian systems on time scales
• Bochner-like transform and Stepanov almost periodicity on time scales with applications
• Positive periodic solutions of delayed periodic Lotka-Volterra systems
• An application of time scales to economics
• Expression of the Lebesgue \(\Delta\)-integral on time scales as a usual Lebesgue integral; application to the calculus of \(\Delta\)-antiderivatives
• Existence of positive solutions for integral boundary value problems of fractional differential equations on infinite interval
• Existence and global exponential stability of anti‐periodic solutions for delayed quaternion‐valued cellular neural networks with impulsive effects
• Existence and uniform asymptotic stability of positive almost periodic solutions for three-species Lotka–Volterra competitive system on time scales
• Weighted Stepanov-like pseudo almost periodicity on time scales and applications