Existence and global attractivity of almost periodic solutions for neural field with time delay
From MaRDI portal
Publication:929469
DOI10.1016/j.amc.2007.11.030zbMath1156.45008OpenAlexW2061176103MaRDI QIDQ929469
Publication date: 17 June 2008
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2007.11.030
global attractivityexponential dichotomyalmost periodic solutionsBanach fixed point theoryneural field with time delay
Integro-partial differential equations (45K05) Periodic solutions of integral equations (45M15) Neural biology (92C20)
Related Items
Periodic and almost periodic solutions for a non-autonomous respiratory disease model with a lag effect ⋮ On the global asymptotic stability of switched linear time-varying systems with constant point delays ⋮ Stability results for switched linear systems with constant discrete delays
Cites Work
- Unnamed Item
- Criteria for exponential stability of Cohen-Grossberg neural networks
- Mathematical theory of neural learning
- Global exponential stability of almost periodic solution for a large class of delayed dynamical systems
- Stability of functional differential equations
- Almost periodic differential equations
- Stability in asymmetric Hopfield nets with transmission delays
- The role of axonal delay in the synchronization of networks of coupled cortical oscillators
- Almost periodic solution of shunting inhibitory cellular neural networks with time-varying delay
- Existence and stability of almost periodic solution for BAM neural networks with delays.
- A continuum theory of electro-cortical activity
- Existence and attractivity of almost periodic solutions for cellular neural networks with distributed delays and variable coefficients.
- Waves and bumps in neuronal networks with axo-dendritic synaptic interactions
- Existence and global attractivity of almost periodic solution for cellular neural network with distributed delays
- Robust asymptotic stability of uncertain fuzzy BAM neural networks with time-varying delays
- Stability analysis of delayed neural networks
- Neural Field Dynamics on the Folded Three-Dimensional Cortical Sheet and Its Forward EEG and MEG
- Traveling Waves of Excitation in Neural Field Models: Equivalence of Rate Descriptions and Integrate-and-Fire Dynamics
- Stability and Bifurcations in Neural Fields with Finite Propagation Speed and General Connectivity
- Neural networks and physical systems with emergent collective computational abilities.
- Boundedness and Stability for Integrodifferential Equations Modeling Neural Field with Time Delay