Noise-driven switching between limit cycles and adaptability in a small-dimensional excitable network with balanced coupling

摘要

We study the adaptability of coupled non-linear oscillators to external forcing by using a system of globally coupled FitzHugh-Nagumo equations. Each unit is either excitatory or inhibitory. If the numbers of units of both types are in a specific relation (balanced coupling), we observe the presence of multistable oscillatory states with different excitation or firing rates. In the presence of noise, there is noise-driven switching between these states. The selection between higher- and lower-frequency oscillations depends on the input, which results in increasing coherence between the periodic input and the system's output.