Dynamics of delay-coupled excitable neural systems
arXiv:0803.2352 · doi:10.1142/S0218127409023111
Abstract
We study the nonlinear dynamics of two delay-coupled neural systems each modelled by excitable dynamics of FitzHugh-Nagumo type and demonstrate that bistability between the stable fixed point and limit cycle oscillations occurs for sufficiently large delay times and coupling strength. As the mechanism for these delay-induced oscillations we identify a saddle-node bifurcation of limit cycles.
6 pages, 7 figures
References in corpus (3)
Cited by in corpus (15)
- Symmetry-breaking transitions in networks of nonlinear circuit elements
- Loss of synchronization in complex neuronal networks with delay
- Coherence resonance in a network of FitzHugh-Nagumo systems: interplay of noise, time-delay and topology
- Controlling the onset of traveling pulses in excitable media by nonlocal spatial coupling and time-delayed feedback
- Amplitude death in systems of coupled oscillators with distributed-delay coupling
- Synchronization of coupled neural oscillators with heterogeneous delays
- Synchronization in heterogeneous FitzHugh-Nagumo networks with hierarchical architecture
- Adaptive control of synchronization in delay-coupled heterogeneous networks of FitzHugh-Nagumo nodes
- Delay-induced self-oscillation excitation in the FitzHugh-Nagumo model: regular and chaotic dynamics
- Role of coupling delay in oscillatory activity in autonomous networks of excitable neurons with dissipation
- Shear-stress controlled dynamics of nematic complex fluids
- Theta neuron subject to delayed feedback: a prototypical model for self-sustained pulsing
- Regular spiking in asymmetrically delay-coupled FitzHugh-Nagumo systems
- Phase models and clustering in networks of oscillators with delayed coupling
- Untersuchungen zur Modellierung und Schaltungsrealisierung von synaptischer Plastizitaet