Hopf Bifurcation in a Novel 3D-Chaotic System with a Four-Wing Attractor

In this paper, based on the Central Manifold Theorem and Hopf Theorem, the Hopf bifurcation characteristics of a novel 3D-chaotic system with a four-wing attractor are studied. The stability of the equilibria of the system is examined. Additionally, the dynamics near the equilibria at infinity are explored using Poincare compactification on polynomial vector fields in & Ropf;(3). These findings contribute to a deeper understanding of the system's dynamics and provide insights into the behavior of its solutions.