# Generation of Multi-Scroll Attractors Without Equilibria Via Piecewise Linear Systems

## TL;DR

This paper introduces a novel class of piecewise-linear dynamical systems that lack equilibria but exhibit multi-scroll chaotic attractors, serving as simplified models for complex nonlinear systems.

## Contribution

The paper presents a new type of equilibrium-free PWL system capable of generating multi-scroll attractors and demonstrates its chaotic behavior using the 0-1 Test for Chaos.

## Key findings

- System is simple and stable
- Displays chaotic multi-scroll attractors
- Validated chaos with 0-1 Test

## Abstract

In this paper we present a new class of dynamical system without equilibria which possesses a multi scroll attractor. It is a piecewise-linear (PWL) system which is simple, stable, displays chaotic behavior and serves as a model for analogous non-linear systems. We test for chaos using the 0-1 Test for Chaos of Ref.12.