Abstract
We study dynamical responses in locally paced networks consisting of diffusively coupled excitable units with dynamically adjusted connectivity. It is shown that for weak subthreshold pacing, excessive or strong connectivity impairs the reliable response of a network to the stimulus. Fast random dynamic rewiring of the network also acts detrimentally on signal detection by enforcing a faster relaxation upon the paced unit. Our results indicate that efficient signal processing on excitable complex networks requires tight correspondence between the dynamics of connectivity and the dynamical processes taking place on the network. This, in turn, suggests the existence of ‘function-follows-form’ principles for systems described within this framework.
Highlights
Excitability is an important property of several biological and artificial systems, ranging from neural networks and cardiac tissue to chemical reaction systems and laser optics [1,2,3,4]
To understand the role played by the paced unit, we examine the dynamics of networks for which the paced unit was spared from getting any shortcut connections
Several recent studies indicate that dynamic rewiring of interactions among units can have important consequences for the organization of activity in networks of excitable units
Summary
Excitability is an important property of several biological and artificial systems, ranging from neural networks and cardiac tissue to chemical reaction systems and laser optics [1,2,3,4]. Excitations can be triggered by stochastic or deterministic inputs, whereby one can observe fascinating phenomena such as, for example, stochastic and coherence resonance in temporal and spatially extended systems [5,6,7,8,9], pattern formation and firing synchronization [10] or self-sustained activity [11] and fast coherent responses [12] in small-world neural networks, to mention but a few. The excitability of so-called leader neurons has been found crucial for the development of bursts of activity in neural networks [15]. Inspired by preceding experimental observations [16], it was conjectured that the leader neurons form a sub-network that acts as a nucleation area for the bursts upon its initial excitation
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