Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
978458 | Physica A: Statistical Mechanics and its Applications | 2009 | 9 Pages |
Abstract
We study the relationship between chaotic behavior and the Central Limit Theorem (CLT) in the Kuramoto model. We calculate sums of angles at equidistant times along deterministic trajectories of single oscillators and we show that, when chaos is sufficiently strong, the Pdfs of the sums tend to a Gaussian, consistently with the standard CLT. On the other hand, when the system is at the “edge of chaos” (i.e. in a regime with vanishing Lyapunov exponents), robust q-Gaussian-like limit distributions naturally emerge, consistently with recently proved generalizations of the CLT.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Giovanna Miritello, Alessandro Pluchino, Andrea Rapisarda,