Design of time delayed chaotic circuit with threshold controller

TL;DR

This paper presents a simple, hardware-efficient time-delayed chaotic circuit with a threshold controller that can generate complex mono- and double-scroll attractors, and can be extended to multi-scroll attractors.

Contribution

It introduces a novel, minimal-component chaotic circuit with a threshold controller for flexible attractor shaping and multi-scroll generation.

Findings

The circuit can produce mono- and double-scroll chaotic attractors.

Adding more threshold values enables multi-scroll attractors.

The design is validated through simulations and hardware experiments.

Abstract

A novel time delayed chaotic oscillator exhibiting mono- and double scroll complex chaotic attractors is designed. This circuit consists of only a few operational amplifiers and diodes and employs a threshold controller for flexibility. It efficiently implements a piecewise linear function. The control of piecewise linear function facilitates controlling the shape of the attractors. This is demonstrated by constructing the phase portraits of the attractors through numerical simulations and hardware experiments. Based on these studies, we find that this circuit can produce multi-scroll chaotic attractors by just introducing more number of threshold values.