Design of multi-wing chaotic systems with higher largest Lyapunov exponent

Abstract

A multi-wing chaotic attractor with higher value of the largest Lyapunov exponent is more useful for its practical applications. This paper proposes a new design technique to generate multi-wing chaotic attractors from two-wing chaotic attractors, available in the literature. The Chen and the Lu systems are considered for demonstration. A nonlinear term of the original system is multiplied by a nonlinear function to generate multi-wings attractors. The number of wings is changed by varying the number of equilibrium points, and the equilibrium points are changed by varying the parameters of the newly added nonlinear function. The new multi-wing chaotic systems have a higher value of the largest Lyapunov exponent than their respective original systems. An interesting behavior is observed in the proposed system, i.e., the largest Lyapunov exponent increases with the variation of a system parameter. Further, the largest Lyapunov exponents of the new systems are much higher than some similar available papers.