Estimation of initial conditions from a scalar time series
混沌动力学
2007-05-23 v1
摘要
We introduce a method to estimate the initial conditions of a mutivariable dynamical system from a scalar signal. The method is based on a modified multidimensional Newton-Raphson method which includes the time evolution of the system. The method can estimate initial conditions of periodic and chaotic systems and the required length of scalar signal is very small. Also, the method works even when the conditional Lyapunov exponent is positive. An important application of our method is that synchronization of two chaotic signals using a scalar signal becomes trivial and instantaneous.
引用
@article{arxiv.nlin/0002024,
title = {Estimation of initial conditions from a scalar time series},
author = {Anil Maybhate and R. E. Amritkar},
journal= {arXiv preprint arXiv:nlin/0002024},
year = {2007}
}
备注
6 pages of revtex with 2 PostScript files for figures; submitted to Phys.Rev.Lett