Synchronizing chaos: Exploring attractive sets in a novel 4D hyperchaotic Lorenz model

Due to the very complex algebraic structure of hyperchaotic models, it is often difficult to determine their limits. Using Lyapunov’s stability theory and optimization methods, we study the limits of a new 4D hyperchaotic Lorenz model. Based on the results obtained, we study complete chaotic synchronization. Finally, to demonstrate the effectiveness of the proposed chaotic synchronization scheme, some numerical simulations are provided.