Self-Organized Criticality in Ad-Hoc Communication Networks Having Small-World Property

This paper investigates the possible effect of "special nodes" in ad-hoc communication network topology on self-organized criticality. Due to increasing demand for ubiquitous connectivity without fixed infrastructures, recently, some approaches let ad-hoc communication networks having small- world property through the introduction of "special nodes". However, these "special nodes" affect the system robustness in a significant way, and even cause the dynamical systems evolve into a critical state. In this paper, after the analysis of the characters of ad-hoc communication networks when such special nodes are involved, we present a model for self-organized criticality on an ad-hoc network having small-world property. The numerical simulations show that these "special nodes" strongly affect the behavior of avalanche evolving, and cause the situation of cascading failures through the dynamical system. We also propose an optimized approach for reduce the local avalanche size and inhibit the occurrence of local avalanche.