Instabilities in threshold-diffusion equations with delay
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Publication:1007789
DOI10.1016/j.physd.2008.10.014zbMath1156.37312OpenAlexW2000862887MaRDI QIDQ1007789
Stephen Coombes, Carlo R. Laing
Publication date: 24 March 2009
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: http://eprints.nottingham.ac.uk/970/
Neural biology (92C20) Dynamical systems in biology (37N25) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)
Related Items (2)
Understanding the effect of white matter delays on large scale brain synchrony ⋮ Travelling fronts in time-delayed reaction–diffusion systems
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Cites Work
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- Nonlocality of reaction-diffusion equations induced by delay: biological modeling and nonlinear dynamics
- Time delays, oscillations, and chaos in physiological control systems
- Dynamics of pattern formation in lateral-inhibition type neural fields
- Dirichlet problem for the diffusive Nicholson's blowflies equation
- Introduction to functional differential equations
- Asymptotic stability of solitary waves
- Numerical computation of connecting orbits in delay differential equations
- The Poincaré-Bendixson theorem for monotone cyclic feedback systems with delay
- Admissable wavefront speeds for a single species reaction-diffusion equation with delay
- Nagumo's equation
- Multiple Bumps in a Neuronal Model of Working Memory
- Delays in activity-based neural networks
- Characteristic Multipliers and Stability of Symmetric Periodic Solutions of . x (t) = g(x(t - 1))
- On solitary waves of a piecewise linear suspended beam model
- Erratic solutions of simple delay equations
- The 2-dimensional attractor of 𝑥’(𝑡)=-𝜇𝑥(𝑡)+𝑓(𝑥(𝑡-1))
- Existence of traveling wave fronts in delayed reaction-diffusion systems via the monotone iteration method
- Oscillation and Chaos in Physiological Control Systems
- Evans Functions for Integral Neural Field Equations with Heaviside Firing Rate Function
- Wavefronts and global stability in a time-delayed population model with stage structure
- Determining stability of pulses for partial differential equations with time delays
- Domain-decomposition method for the global dynamics of delay differential equations with unimodal feedback
- Explicit periodic solutions in a model of a relay controller with delay and forcing
- Traveling wavefronts for delayed reaction-diffusion systems via a fixed point theorem
- Traveling wave fronts of reaction-diffusion systems with delay
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