FIG. 6.

Examples of various synchronous states in the system with the human brain network coupling strength distribution. (a) Distribution for coupling strengths obtained from a brain-network distribution. For the obtained coupling strength set $K_j$, $K_{\text{mean}}=36.5\times {10}^{-3}$ (vertical dotted line), ${\sigma }_K=15.8\times {10}^{-3}$, $K_{\text{min}}=1.01\times {10}^{-3}$, and $K_{\text{max}}=98.1\times {10}^{-3}$. (b) State $S{2}_{dl-}$ with a positive amplitude slope: $\tilde{R}>d_0\sin \alpha \cdot \text{max}\{{r_j}^{\ast }\}$ and $\mathrm{\Delta }>0$. Satisfies additional condition $K_{\text{min}}\le \frac{\mathrm{\Delta }\cdot {r_{\text{min}}}^{\ast }}{\tilde{R}-|d_0\sin \alpha |{r_{\text{min}}}^{\ast }}<K_{max}$. (c) State $S{3}_{dl+d}$ with a positive amplitude slope: $\tilde{R}<d_0\sin \alpha \cdot \text{min}\{{r_j}^{\ast }\}$ and $\mathrm{\Delta }<0$. Satisfies additional conditions $K_{\text{min}}\le \frac{|\mathrm{\Delta }|{r_{\text{min}}}^{\ast }}{\tilde{R}+|d_0\sin \alpha |{r_{\text{min}}}^{\ast }}<K_l<\frac{|\mathrm{\Delta }|{r_{\text{max}}}^{\ast }}{|d_0\sin \alpha |{r_{\text{max}}}^{\ast }-\tilde{R}}\le K_{\text{max}}$. (d) State $S{3}_{dl+d}$ with a negative amplitude slope. Additional conditions are as in (c). (e) State $S{3}_{dl-d}$ with a positive–negative amplitude slope: $\tilde{R}<d_0\sin \alpha \cdot \text{min}\{{r_j}^{\ast }\}$ and $\mathrm{\Delta }>0$. Satisfies additional conditions $K_{\text{min}}\le \frac{|\mathrm{\Delta }|{r_{\text{min}}}^{\ast }}{\tilde{R}+|d_0\sin \alpha |{r_{\text{min}}}^{\ast }}<K_l<\frac{|\mathrm{\Delta }|{r_{\text{max}}}^{\ast }}{|\tilde{R}-|d_0\sin \alpha |{r_{\text{max}}}^{\ast }|}\le K_{\text{max}}$. (f) State $S{3}_{dl-d}$ with a negative amplitude slope. Additional conditions are as in (e). Other details are as in Fig. 2. Simulation parameters: $\lambda =1$, $\omega =\pi$, $S=1$, $N=989$.