N − Scroll Chaotic Attractors from A General Jerk Circuit

The paper proposes a novel nonlinear modulating function approach for generating N-scroll chaotic attractors based on a general jerk circuit. The systematic nonlinear modulating function methodology developed can arbitrarily design the swings, widths, slopes, breakpoints, equilibrium points, and shapes of the N-scroll chaotic attractors; via the adjustable sawtooth wave, triangular wave, and transconductor wave functions. A block circuit diagram is designed for hardware implementation of various 3- to 12-scroll attractors via switchings of the switch linkages. This is the first time that a 12-scroll chaotic attractor, generated by an analog circuit under laboratory conditions, has been verified experimentally.