Synchronisation of time--delay systems
chao-dyn
2009-10-31 v1 混沌动力学
摘要
We present the linear-stability analysis of synchronised states in coupled time-delay systems. There exists a synchronisation threshold, for which we derive upper bounds, which does not depend on the delay time. We prove that at least for scalar time-delay systems synchronisation is achieved by transmitting a single scalar signal, even if the synchronised solution is given by a high-dimensional chaotic state with a large number of positive Lyapunov-exponents. The analytical results are compared with numerical simulations of two coupled Mackey-Glass equations.
引用
@article{arxiv.chao-dyn/9908003,
title = {Synchronisation of time--delay systems},
author = {Martin J. Bünner and Wolfram Just},
journal= {arXiv preprint arXiv:chao-dyn/9908003},
year = {2009}
}