Experimental study of imperfect phase synchronization in the forced Lorenz system
Chaotic Dynamics
2007-05-23 v1
Abstract
In this work we demonstrate for an experimental system, that exhibits the Lorenz butterfly attractor behavior, that perfect chaotic phase synchronization cannot be achieved in systems with an unbounded distribution of intrinsic time scales. Instead, imperfect phase synchronization is characterized by the occurrence of phase slips, associated to epochs of time during which the chaotic oscillator exhibits a slower time scale. Interestingly, during phase slips the chaotic oscillator keeps in sync with the drive, but with a different locking ratio.
Cite
@article{arxiv.nlin/0703013,
title = {Experimental study of imperfect phase synchronization in the forced Lorenz system},
author = {Antonio Pujol-Pere and Oscar Calvo and Manuel A. Matias and Juergen Kurths},
journal= {arXiv preprint arXiv:nlin/0703013},
year = {2007}
}
Comments
7 pages, 8 figures