Circuit implementation for generating three-dimensional multi-scroll chaotic attractors 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 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.