Theory and experimental realization of observer-based discrete-time hyperchaos synchronization

Theory and experimental realization of observer-based discrete-time hyperchaos synchronization
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DOI:
10.1109/81.989174
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发表时间:
2002-08
影响因子:
5.1
通讯作者:
G. Grassi;D. A. Miller
G. Grassi;D. A. Miller
中科院分区:
工程技术2区
文献类型:
--
作者:
G. Grassi;D. A. Miller

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动力系统同步的研究主要集中在混沌系统而不是超混沌系统和连续时间系统而不是离散时间系统。这些研究以数值模拟为主,结果通常缺乏实验数据。本文填补了这些空白:1)提出了一种超混沌离散系统的精确(死拍)同步技术;2)描述该技术在广义Henon地图上的电子实现。该同步策略是基于观测器的概念,使一类广泛的超混沌离散系统能够通过标量信号进行同步。电子实现对理论结果进行了验证,并证实了该方法在硬件上实现的可行性。
Research in the synchronization of dynamical systems has been mainly focused on chaotic rather than hyperchaotic systems and on continuous-time rather than discrete-time systems. Numerical simulations dominate these studies and results typically lack experimental data. This brief fills these gaps by 1) presenting a technique for the exact (dead-beat) synchronization of hyperchaotic discrete-time systems; and 2) describing an electronic implementation of this technique for the generalized Henon map. The synchronization strategy is based on the observer concept and enables a wide class of hyperchaotic discrete-time systems to be synchronized via a scalar signal. An electronic implementation provides verification of the theoretical results and confirms the feasibility of realizing this approach in hardware.