Optimal interdependence enhances the dynamical robustness of complex systems
Rishu Kumar Singh1, Sitabhra Sinha1
1The Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai 600113, India and Homi Bhabha National Institute, Anushaktinagar, Mumbai 400 094, India.
Abstract:
Although interdependent systems have usually been associated with increased fragility, we show that strengthening the interdependence between dynamical processes on different networks can make them more likely to survive over long times. By coupling the dynamics of networks that in isolation exhibit catastrophic collapse with extinction of nodal activity, we demonstrate system-wide persistence of activity for an optimal range of interdependence between the networks. This is related to the appearance of attractors of the global dynamics comprising disjoint sets ("islands") of stable activity.
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