Collective Chaos Induced by Structures of Complex Networks

Details Collective Chaos Induced by Structures of Complex Networks Collective Chaos Induced by Structures of Complex Networks

2005-05-04

arxiv.org/abs/cond-mat/0505086v3

Physica A 364 (2006) 544?C556

Physics

Condensed Matter

Statistical Mechanics

15 pages, 12 figures, To appear in Physica A

Scientific paper

10.1016/j.physa.2005.09.050

Mapping a complex network of $N$coupled 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 $p_{ER} \le \frac{1}{N}$ is in the state of collective order, while that on an Erdos-Renyi network with $p_{ER} > \frac{1}{N}$ 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 $p_r \in [0.0,0.1]$, and then keeps chaotic up to $p_r = 1.0$. 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 $(\beta ,\eta)$.

Affiliated with

Also associated with

No associations

Rating

Collective Chaos Induced by Structures of Complex Networks does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Collective Chaos Induced by Structures of Complex Networks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Collective Chaos Induced by Structures of Complex Networks will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-591780