Constructing Infinitely Many Attractors in a Programmable Chaotic Circuit

In this paper, we modify the Sprott M chaotic system to provide infinitely many co-existing attractors by replacing the offset boosting parameter with a periodic function giving what we call a self-reproducing system. Consequently, a chaotic signal with either polarity can be obtained by selecting different initial conditions. Various periodic functions are introduced in the same offset-boostable system for producing coexisting attractors. We used a field programmable analog array to construct a programmable chaotic circuit, and the predicted attractors were observed on an oscilloscope.