Complex systems are usually non-stationary and their dynamics is often dominated by collective effects. Collectivity, defined as coherent motion of the whole system or some its parts, manifests itself in time-dependent structures covariance correlation matrices. The largest eigenvalue corresponds to a whole, while other large, isolated, eigenvalues indicate collectivity parts system. In case fi...

In this paper, we propose a new type of informationtheoretic method to resolve the contradiction observed in competitive and input neurons. For competitive neurons, contradiction between self-evaluation (individuality) and outer-evaluation (collectivity) exists, which is reduced to realize the self-organizing maps. For input neurons, there exists contradiction between the use of many and few in...

Collectivity in ensembles of atoms gives rise to effects like superand subradiance. While superradiance is well studied and experimentally accessible, subradiance remains elusive since it is difficult to track experimentally as well as theoretically. Here we present a new type of phase transition in the resonantly driven, open Dicke model that leads to a deterministic generation of subradiant s...

Critics of functionalism about the mind often rely on the intuition that collectivities cannot be conscious in motivating their positions. In this paper, we consider the merits of appealing to the intuition that there is nothing that it’s like to be a collectivity. We demonstrate that collective mentality is not an affront to commonsense, and we report evidence that demonstrates that the intuit...