On periodic solutions to a class of non-autonomously delayed reaction-diffusion neural networks
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Publication:718337
DOI10.1016/j.cnsns.2010.02.022zbMath1221.35200OpenAlexW2071855186MaRDI QIDQ718337
Publication date: 23 September 2011
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2010.02.022
periodic solutionsdelayPoincaré inequalityLyapunov functionalreaction-diffusionCohen-Grossberg neural networks
Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57) Neural networks for/in biological studies, artificial life and related topics (92B20)
Related Items (6)
Attractivity in time-periodic parabolic systems and application to reaction-diffusion neural networks ⋮ Existence and global exponential stability of equilibrium solution to reaction-diffusion recurrent neural networks on time scales ⋮ Global exponential stability and existence of periodic solutions for delayed reaction-diffusion BAM neural networks with Dirichlet boundary conditions ⋮ Passivity of delayed reaction-diffusion networks with application to a food web model ⋮ Multistability and multiperiodicity for a general class of delayed Cohen-Grossberg neural networks with discontinuous activation functions ⋮ Global robust exponential stability and periodic solutions for interval Cohen-Grossberg neural networks with mixed delays
Cites Work
- Unnamed Item
- Unnamed Item
- Existence and attractivity of periodic solutions to non-autonomous Cohen-Grossberg neural networks with time delays
- Criteria for exponential stability of Cohen-Grossberg neural networks
- Exponential stability of artificial neural networks with distributed delays and large impulses
- Dynamics of Cohen-Grossberg neural network with variable coefficients and time-varying delays
- Global stability analysis of impulsive Cohen-Grossberg neural networks with delay
- Introduction to functional differential equations
- Stability in asymmetric Hopfield nets with transmission delays
- Global exponential stability of reaction-diffusion recurrent neural networks with time-varying delays
- Harmless delays in Cohen-Grossberg neural networks
- Hopf bifurcation and chaos in a single delayed neuron equation with non-monotonic activation function
- Existence and stability of periodic solutions for Cohen--Grossberg neural networks with multiple delays
- Stability of artificial neural networks with impulses
- Exponential stability of reaction-diffusion generalized Cohen-Grossberg neural networks with time-varying delays
- Global dynamic analysis of general Cohen-Grossberg neural networks with impulse
- Global exponential stability and periodicity of reaction-diffusion delayed recurrent neural networks with Dirichlet boundary conditions
- On global exponential stability and existence of periodic solutions for BAM neural networks with distributed delays and reaction-diffusion terms
- Analysis on global exponential robust stability of reaction-diffusion neural networks with S-type distributed delays
- Harmless delays for global asymptotic stability of Cohen--Grossberg neural networks
- Global exponential stability of Cohen-Grossberg neural networks with time-varying delays
- Periodic solutions and its exponential stability of reaction-diffusion recurrent neural networks with continuously distributed delays
- Exponential periodicity and stability of neural networks with reaction-diffusion terms and both variable and unbounded delays
- Global exponential stability and periodic solutions of Cohen--Grossberg neural networks with continuously distributed delays
- Absolute stability of global pattern formation and parallel memory storage by competitive neural networks
- Global asymptotic stability of delayed Cohen-Grossberg neural networks
- Neurons with graded response have collective computational properties like those of two-state neurons.
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