Multistability and hidden attractors in a novel simple 5D chaotic Sprott E system without equilibrium points

Abstract

This paper presents a novel simple 5D chaotic system with no critical point having hidden attractors which are derived via state feedback control strategy from the known 3D Sprott-E system. The proposed system is different from some well-known hidden chaotic systems, it exhibits chaotic 2-torus and consists of nine terms including only one control parameter, two nonlinear terms. Some dynamical behaviors of this system were analyzed theoretically and numerical simulations such as equilibrium points, Lyapunov exponents, Lyapunov dimension, phase portraits, multistability, and hybrid projective synchronization.