Three-Dimensional Sine Chaotic System With Multistability and Multi-Scroll Attractor

Abstract

In this brief a simple three-dimensional sine chaotic system formed by six terms is presented. The only one nonlinear term, i.e., the sinusoidal function makes the system have infinitely many equilibria. This prominent feature lead to infinitely many coexisting self-excited and hidden attractors with the same or different shapes, also namely homogenous multistability or heterogenous multistability. Furthermore, the multiple equilibria make the system successfully generate multi-scroll attractors. These complicated dynamical behaviors are numerically studied and further experimentally demonstrated by microcontroller-based hardware platform.