Adaptive control of synchronization in delay-coupled heterogeneous networks of FitzHugh-Nagumo nodes
arXiv:1503.07657 · doi:10.1142/S0218127416500589
Abstract
We study synchronization in delay-coupled neural networks of heterogeneous nodes. It is well known that heterogeneities in the nodes hinder synchronization when becoming too large. We show that an adaptive tuning of the overall coupling strength can be used to counteract the effect of the heterogeneity. Our adaptive controller is demonstrated on ring networks of FitzHugh-Nagumo systems which are paradigmatic for excitable dynamics but can also -- depending on the system parameters -- exhibit self-sustained periodic firing. We show that the adaptively tuned time-delayed coupling enables synchronization even if parameter heterogeneities are so large that excitable nodes coexist with oscillatory ones.
References in corpus (8)
- Master Stability Functions for Coupled Near-Identical Dynamical Systems
- Time-delayed feedback in neurosystems
- Synchronizing distant nodes: a universal classification of networks
- Symmetry-breaking transitions in networks of nonlinear circuit elements
- Amplitude death in oscillator networks with variable-delay coupling
- Controlling cluster synchronization by adapting the topology
- Heterogeneous Delays in Neural Networks
- Nonlocal control of pulse propagation in excitable media