Partial synchronization of relaxation oscillators with repulsive coupling in autocatalytic integrate-and-fire model and electrochemical experiments
arXiv:1804.02923 · doi:10.1063/1.5022497
Abstract
Experiments and supporting theoretical analysis is presented to describe the synchronization patterns that can be observed with a population of globally coupled electrochemical oscillators close to a homoclinic, saddle-loop bifurcation, where the coupling is repulsive in the electrode potential. While attractive coupling generates phase clusters and desynchronized states, repulsive coupling results in synchronized oscillations. The experiments are interpreted with a phenomenological model that captures the waveform of the oscillations (exponential increase) followed by a refractory period. The globally coupled autocatalytic integrate-and-fire model predicts the development of partially synchronized states that occur through attracting heteroclinic cycles between out-of-phase two-cluster states. Similar behavior can be expected in many other systems where the oscillations occur close to a saddle-loop bifurcation, e.g., with Morris-Lecar neurons.
References in corpus (4)
- Slow Switching in Globally Coupled Oscillators: Robustness and Occurrence through Delayed Coupling
- Collective chaos in pulse-coupled neural networks
- Clustering in Globally Coupled Oscillators Near a Hopf Bifurcation: Theory and Experiments
- Slow switching in a population of delayed pulse-coupled oscillators