Existence and global exponential stability of periodic solutions of recurrent cellular neural networks with impulses and delays

DOI10.1016/j.matcom.2007.09.001zbMath1144.92002OpenAlexW2015449088MaRDI QIDQ947916

Weigao Ge, Zhanji Gui, Xiao-Song Yang

Publication date: 8 October 2008

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2007.09.001

zbMATH Keywords

quasi-periodic solutionimpulsive effectsimulation method

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Functional-differential equations with impulses (34K45) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13)

Related Items (12)

New results for periodic solution of high-order BAM neural networks with continuously distributed delays and impulses ⋮ Stationary oscillation for cellular neural networks with time delays and impulses ⋮ Globally exponential stability of periodic solutions for~impulsive neutral-type neural networks with delays ⋮ Existence of an exponential periodic attractor of a class of impulsive differential equations with time-varying delays ⋮ Periodic solutions for a class of nonautonomous differential system with impulses and time-varying delays ⋮ Existence and global exponential stability of periodic solution of cellular neural networks with delay and impulses ⋮ Exponential stability of periodic neural networks with impulsive effects and time-varying delays ⋮ Existence and global exponential stability of periodic solution for impulsive Cohen-Grossberg-type BAM neural networks with continuously distributed delays ⋮ Exponential \(p\)-stability of impulsive stochastic Cohen-Grossberg neural networks with mixed delays ⋮ On the design of an obstacle avoiding trajectory: Method and simulation ⋮ Stationary oscillation of an impulsive delayed system and its application to chaotic neural networks ⋮ Global exponential stability of periodic solutions for impulsive Cohen-Grossberg neural networks with delays

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