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使用模拟可编程器件实现3×3网格滚动混沌电路及其同步

Implementation and synchronization of 3x3 grid scroll chaotic circuits with analog programmable devices.

作者信息

Hulub Marian, Frasca Mattia, Fortuna Luigi, Arena Paolo

机构信息

Faculty of Electronics and Telecommunications, Technical University Gh. Asachi, Bd. Carol I nr. 11, 700506 Iasi, Romania.

出版信息

Chaos. 2006 Mar;16(1):013121. doi: 10.1063/1.2164811.

Abstract

The implementation of circuits with complex dynamics is a very challenging problem. In this paper we present a new chaotic circuit based on the dynamical equations introduced in IEEE Trans. Circuits Syst., I: Fundam. Theory Appl. 51, 2476-2490 (2004). This circuit has been realized by using programmable analog devices, and, in particular, field programmable analog arrays have been used to implement a two-dimensional 3x3 grid scroll chaotic attractor. The implementation of complex dynamics with low cost circuits is very appealing; moreover, the implementation of the chaotic attractor discussed in this paper is not present in the literature. The experimental results including the synchronization between two chaotic circuits show complete agreement with the simulation results reported in IEEE Trans. Circuits Syst., I: Fundam. Theory Appl. 51, 2476-2490 (2004).

摘要

实现具有复杂动力学特性的电路是一个极具挑战性的问题。在本文中,我们基于发表于《IEEE 电路与系统学报,I:基础理论与应用》第51卷,2476 - 2490页(2004年)的动力学方程,提出了一种新型混沌电路。该电路已通过使用可编程模拟器件得以实现,具体而言,现场可编程模拟阵列被用于实现二维3×3网格滚动混沌吸引子。用低成本电路实现复杂动力学特性极具吸引力;此外,本文所讨论的混沌吸引子的实现方式在文献中尚无报道。包括两个混沌电路之间同步在内的实验结果与发表于《IEEE 电路与系统学报,I:基础理论与应用》第51卷,2476 - 2490页(2004年)的仿真结果完全吻合。

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