The response of a random and modular network to the simultaneous presence of two frequencies is considered. The competition for controlling the dynamics of the network results in different behaviors, such as frequency changes or permanent synchronization frustration, which can be directly related to the network structure. From these observations, we propose a new method for detecting overlapping communities in structured networks.
Bibliographical noteFunding Information:
This work has been partly supported by EU contract 043309 GABA, and by the URJC-CM under Projects n. URJC-CM-2007-CET-1601 and URJC-CM-2007-CET-1549. We also wish to thank the EU project DAPHNet, ONR, the Israel Science Foundation, Hadar Foundation and the Center of Complexity Science for financial support.
- Small-world network