Phase synchronization in time-delay systems
摘要
Though the notion of phase synchronization has been well studied in chaotic dynamical systems without delay, it has not been realized yet in chaotic time-delay systems exhibiting non-phase coherent hyperchaotic attractors. In this article we report the first identification of phase synchronization in coupled time-delay systems exhibiting hyperchaotic attractor. We show that there is a transition from non-synchronized behavior to phase and then to generalized synchronization as a function of coupling strength. These transitions are characterized by recurrence quantification analysis, by phase differences based on a new transformation of the attractors and also by the changes in the Lyapunov exponents. We have found these transitions in coupled piece-wise linear and in Mackey-Glass time-delay systems.
引用
@article{arxiv.nlin/0609040,
title = {Phase synchronization in time-delay systems},
author = {D. V. Senthilkumar and M. Lakshmanan and J. Kurths},
journal= {arXiv preprint arXiv:nlin/0609040},
year = {2009}
}
备注
4 pages, 3 Figures (To appear in Physical Review E Rapid Communication)