LAUSR

This manuscript investigates a novel 3D autonomous chaotic system which generates two strange attractors. The Lyapunov exponent, bifurcation diagram, Poincaré section, Kaplan–Yorke dimension, equilibria and phase portraits are given to justify the chaotic nature of the system. The novel system displays fixed orbit, periodic orbit, chaotic orbit as the parameter value varies. The reduced order combination synchronization is also performed by considering three identical 3D novel chaotic systems in two parts (a) choosing two third order master systems and one second order slave system which is the projection in the 2D plane. (b) choosing one third order master system and two second order slave systems which are the projection in the 2D plane. Numerical simulations justify the validity of the theoretical results discussed.