Long Chaotic Transients in Complex Networks

Details Long Chaotic Transients in Complex Networks Long Chaotic Transients in Complex Networks

2004-01-05

arxiv.org/abs/cond-mat/0401038v2

Phys. Rev. Lett. 93, 244103 (2004)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages; 5 figures

Scientific paper

10.1103/PhysRevLett.93.244103

We show that long chaotic transients dominate the dynamics of randomly diluted networks of pulse-coupled oscillators. This contrasts with the rapid convergence towards limit cycle attractors found in networks of globally coupled units. The lengths of the transients strongly depend on the network connectivity and varies by several orders of magnitude, with maximum transient lengths at intermediate connectivities. The dynamics of the transient exhibits a novel form of robust synchronization. An approximation to the largest Lyapunov exponent characterizing the chaotic nature of the transient dynamics is calculated analytically.

Affiliated with

Also associated with

No associations

Rating

Long Chaotic Transients in 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 Long Chaotic Transients in Complex Networks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Long Chaotic Transients in Complex Networks will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-288199