C D ] 1 6 N ov 2 00 4 A simple adaptive-feedback controller for identical chaos synchronization

C D ] 1 6 N ov 2 00 4 A simple adaptive-feedback controller for identical chaos synchronization
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发表时间:
2004
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通讯作者:
Debin Huang
Debin Huang
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其他
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作者:
Debin Huang

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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同步方案,实现了几乎所有混沌系统的严格同步。与通常的线性反馈不同,可变反馈强度可自动调整,实现两个几乎任意相同的混沌系统的完全同步,因此该方案是解析的,且易于实现。此外,它对噪声的影响非常鲁棒。著名的Lorenz和Rössler超混沌系统被用来作为说明性的例子。
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 Rössler hyperchaos systems are used as illustrative examples.