Collective Chaos Induced by Structures of Complex Networks

الأصل · EN

Mapping a complex network of Ncoupled identical oscillators to a quantum system, the nearest neighbor level spacing (NNLS) distribution is used to identify collective chaos in the corresponding classical dynamics on the complex network. The classical dynamics on an Erdos-Renyi network with the wiring probability pER ≤ 1/N is in the state of collective order, while that on an Erdos-Renyi network with pER > 1/N in the state of collective chaos. The dynamics on a WS Small-world complex network evolves from collective order to collective chaos rapidly in the region of the rewiring probability pᵣ ∈ [0.0,0.1], and then keeps chaotic up to pᵣ = 1.0. The dynamics on a Growing Random Network (GRN) is in a special state deviates from order significantly in a way opposite to that on WS small-world networks. Each network can be measured by a couple values of two parameters (β,η).