Figure 2

Synchronization transitions on the neural networks with parameters drawn from fixed-size regions of the parameter space. (A) Maximal Lyapunov exponent (MLE), firing rate (FR) and firing pattern (FP) obtained from each parameter values. Red rectangles denote regions with chaotic oscillations, characterized by MLE > 0, while regions in green are non-chaotic oscillators (MLE ≤ 0). The colour bar of FP indicates: 0, no oscillations; 1, sub-threshold oscillations (no spikes); 2, oscillations and spikes with skipping; 3, regular tonic spiking; 4, burst firing (the shade represents the number of spikes per bursts); 5, tonic with firing rate between 20 and 50 spikes/second; 6, firing rate higher than 50 spikes/second. (B) and (C) Transition dynamics in heterogeneous networks of 250 neurons, as the g coupling value is increased. Order parameter (R), metastability and MLE are shown. The results are averages of 10 realizations of the networks and the error bars indicate the standard deviation. Subplots B and C correspond to the parameters drawn from range 1 and range 2 of A, respectively. Throughout this article, Non-chaotic networks and Chaotic networks in the legend respectively denote networks built with non-chaotic and chaotic oscillators.