Dynamic Survivability in Nonlinear Oscillation Systems with Attractive-Repulsive Interaction

On the basis of global and BA scale-free coupled Stuart–Landau models, dynamic survivability has been investigated in detail with new definition and measure function, which is different from the previous survivability studies which only focused on static analysis. The effects on dynamic survivability of attractive–repulsive interaction and attack strategies are detected. Our results suggest that the coupling strength and presence of the repulsive interaction reduce the dynamic survivability in globally coupled systems. Furthermore, the dynamic survivability of the BA systems remains stable in the case of random attack with invariable critical attack cost [Formula: see text]. While they have the same features with globally coupled systems when being deliberately attacked; attacking high-degree oscillators show a tendency to spoil the dynamic survivability more effectively. Finally, it is found that the attractive coupling plays a more important role in the dynamic survivability. These findings may help us to prevent systems from being attacked and design survivable systems.