混沌稳定化的噪声诱导失效:大涨落及其控制
混沌动力学
2009-11-10 v1
摘要
将一维 logistic 映射中不稳定轨道稳定化时的噪声诱导失效视为偏离稳定态的大涨落。通过确定并分析对应于稳定化失效的最优路径与最优涨落力,考察了大涨落的性质。讨论了噪声诱导大涨落的控制问题,并发展了控制方法。
引用
@article{arxiv.nlin/0302029,
title = {Noise-induced failures of chaos stabilization: large fluctuations and their control},
author = {I. A. Khovanov and N. A. Khovanova and P. V. E. McClintock},
journal= {arXiv preprint arXiv:nlin/0302029},
year = {2009}
}
备注
14 pages, 11 figures, submitt to Phys.Rev.E