用三角波序列产生三维多涡卷混沌吸引子的电路实验

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N1₁、三角波序列发生器N2₂，N3₃，N4_{4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 关键词： 三维多涡卷混沌吸引子 三维多涡卷混沌电路 三角波序列 电路实验}

Circuit implementation for generating three-dimensional multi-scroll chaotic att ractors via triangular wave series

This paper proposes a new approach for generating three_dimensional (3_D) multi_scroll chaotic attractors via triangular wave series. The chaotic dynamic char acteristic of multi_scroll system constructed by triangular wave series is furth er investigated. The hardware experimental circuit is designed and the interrela ted circuit implementation is realized. A blocking circuit diagram, including in tegrator N1₁, triangular wave series generators N2₂, N33 and N4₄, switch linkage K, is designed for the hardware imp lementations. The triangular wave series developed here can adjust the swings, w idths, equilibrium points, breakpoints, and slopes so as to generate a large num ber of scrolls with adjustable sizes and shapes. Moreover, the number of scrolls can be controlled via switching of the switch linkage K. The experimental resul t demonstrates that this method can be a new approach for generating 3_D multi_s croll chaotic attractors with up to 21_scrolls in practical circuit by construct ing a family of triangular wave series with adjustable parameters.