作　　者： ;

机构地区： 广东工业大学自动化学院

出　　处： 《物理学报》 2005年第4期1500-1509,共10页

摘　　要： 提出用三角波序列产生三维多涡卷混沌吸引子的新方法 .分析了用三角波序列构造多涡卷系统的混沌动力学特性 ,设计了硬件实验电路 ,进行了相关的电路实验研究 .该混沌电路由积分器N1 、三角波序列发生器N2 ,N3,N4和联动转换开关K共 3个部分构成 ,主要特点是三角波序列的幅度、宽度、平衡点、转折点、斜率等参数可调 ,从而能产生大小和形状可调的多涡卷 .此外 ,通过联动开关K的转换可控制涡卷的数量 .硬件电路实验研究结果表明 ,基于所构造的一类三角波序列参数可调的特性 ,能在实际电路中产生涡卷数量多达 2 1个的三维混沌信号 .最后给出了通过硬件电路实验产生三维 2 1涡卷混沌吸引子的新结果 . This paper proposes a new approach/for generating three-dimensional (3-D) multi-scroll chaotic attractors via triangular wave series. The chaotic dynamic characteristic of multi-scroll system constructed by triangular wave series is further investigated. The hardware experimental circuit is designed and the interrelated circuit implementation is realized. A blocking circuit diagram, including integrator N-1, triangular wave series generators N-2, N-3 and N-4, switch linkage K, is designed for the hardware implementations. The triangular wave series developed here can adjust the swings, widths, equilibrium points, breakpoints, and slopes so as to generate a large number of scrolls with adjustable sizes and shapes. Moreover, the number of scrolls can be controlled via switching of the switch linkage K. The experimental result demonstrates that this method can be a new approach for generating 3-D multi-scroll chaotic attractors with up to 21-scrolls in practical circuit by constructing a family of triangular wave series with adjustable parameters.

关 键 词： 三角波序列 三维多涡卷混沌吸引子 电路实验 混沌动力学

领　　域： [理学] [理学]