Abstract

We describe completely the dynamics of the three-dimensional Muthuswamy–Chua systems ẋ = y, ẏ = − 3x + 2y − yz22, ż = y − αz − yz, in the infinity of the Poincaré ball for all values of α ∈ R. Additionally, we provide a complete description of the dynamics of this differential system when α = 0. © 2025 Author(s).