Renormalization Group Approach to Oscillator Synchronization

Details Renormalization Group Approach to Oscillator Synchronization Renormalization Group Approach to Oscillator Synchronization

2008-10-17

arxiv.org/abs/0810.3075v2

Nonlinear Sciences

Pattern Formation and Solitons

13 pages, 7 figures: 8 figure files in *.eps format and one *.tex file

Scientific paper

We develop a renormalization group method to investigate synchronization clusters in a one-dimensional chain of nearest-neighbor coupled phase oscillators. The method is best suited for chains with strong disorder in the intrinsic frequencies and coupling strengths. The results are compared with numerical simulations of the chain dynamics and good agreement in several characteristics is found. We apply the renormalization group and simulations to Lorentzian distributions of intrinsic frequencies and couplings and investigate the statistics of the resultant cluster sizes and frequencies, as well as the dependence of the characteristic cluster length upon parameters of these Lorentzian distributions.

Affiliated with

Also associated with

No associations

Rating

Renormalization Group Approach to Oscillator Synchronization 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 Renormalization Group Approach to Oscillator Synchronization, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Renormalization Group Approach to Oscillator Synchronization will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-352015