Simple adaptive-feedback controller for identical chaos synchronization

Simple adaptive-feedback controller for identical chaos synchronization
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DOI:
10.1103/physreve.71.037203
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发表时间:
2005-03-01
期刊:
影响因子:
2.4
通讯作者:
Huang, DB
Huang, DB
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Huang, DB

文献摘要

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基于微分方程的不变性原理,提出了一种简单的自适应反馈方案,用于使几乎所有混沌系统严格同步。与通常的线性反馈不同,可变反馈强度可自动调整,以使两个几乎任意相同的混沌系统完全同步,因此该方案具有解析性,且在实际中易于实现。此外,它对噪声影响具有很强的鲁棒性。以著名的洛伦兹和罗斯勒超混沌系统作为示例进行了说明。
Based on the invariance principle of differential equations, a simple adaptive-feedback scheme is proposed to strictly synchronize almost all chaotic systems. Unlike the usual linear feedback, the variable feedback strength is automatically adapted to completely synchronize two almost arbitrary identical chaotic systems, so this scheme is analytical, and simple to implement in practice. Moreover, it is quite robust against the effect of noise. The famous Lorenz and Rossler hyperchaos systems are used as illustrative examples.