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

Abstract

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.