量子电子学报, 2009, 26 (6): 715, 网络出版: 2010-05-24
n×m涡卷混沌吸引子的研究及硬件实现
Study and hardware implementation of n×m-scroll chaotic attractors
混沌 n×m 涡卷混沌吸引子 三角波函数序列 阶跃函数序列 FPGA硬件实现 chaos n×m-scroll chaotic attractors triangular wave series step function sequence FPGA hardware implementation
摘要
提出了产生 n×m 涡卷混沌吸引子的一种新方法,用三角波函数序列和阶跃函数序列构造 网格多涡卷混沌系统,找出函数中平衡点和 转折点的值,并对系统的基本动力学特性进行了研究,包括理论分析和计算机模拟仿真。用模块化的方法设计了现场可编程门 阵列(FPGA)硬件实验电路,给出了相关的实验结果。计算机仿真和 FPGA 硬件实验结果相吻合,由此证明了该系统的混沌特性。
Abstract
A novel approach for generating n×m-scroll chaotic attractors is proposed. The grid multi-scroll chaotic system is constructed by triangular wave series and step function sequence, and the value of the turning point and the balance point in above function are found. Basic dynamic properties of the system are investigated via theoretical analysis and computer simulation. Modularization design of circuit based on field programmable gate array (FPGA) was used to realize the chaotic system, then the relevant experimental results are given. Circuit experiment is identical to computer simulation, so chaotic characteristic is verified.
周武杰, 禹思敏, 徐伟. n×m涡卷混沌吸引子的研究及硬件实现[J]. 量子电子学报, 2009, 26(6): 715. ZHOU Wu-jie, YU Si-min, XU Wei. Study and hardware implementation of n×m-scroll chaotic attractors[J]. Chinese Journal of Quantum Electronics, 2009, 26(6): 715.
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