A New Family of Chaotic Systems with Different Closed Curve Equilibrium

Abstract

Chaotic systems with hidden attractors, infinite number of equilibrium points and different closed curve equilibrium have received much attention in the past six years. In this work, we introduce a new family of chaotic systems with different closed curve equilibrium. Using the methods of equilibrium points, phase portraits, maximal Lyapunov exponents, Kaplan–Yorke dimension, and eigenvalues, we analyze the dynamical properties of the proposed systems and extend the general knowledge of such systems.

Keywords

• chaotic system
• hidden attractor
• eigenvalue
• equilibrium
• maximal Lyapunov exponents
• Kaplan–Yorke dimension