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Enhancement of signal response in complex networks induced by topology and noise

Acebron, Juan; Lozano, S.; Arenas, A.

Applications of Nonlinear Dynamics Model and Design of Complex Systems, Springer-Verlag, (2009), 201-210

The effect of the topological structure of a coupled dynamical system in presence of noise on the signal response is investigated. In particular, we consider the response of a noisy overdamped bistable dynamical system driven by a periodic force, and linearly coupled through a complex network of interactions. We find that the interplay among the heterogeneity of the network and the noise plays a crucial role in the signal response of the dynamical system. This has been validated by extensive numerical simulations conducted in a variety of networks. Furthermore, we propose analytically tractable models based on simple topologies, which explain the observed behavior.