Chaotic analysis and combination-combination synchronization of a novel hyperchaotic system without any equilibria

This manuscript examines a novel 4D continuous autonomous hyperchaotic system with two scroll attractor. This system does not produce any equilibrium point so, it generates hidden hyperchaotic attractor. The Lyapunov exponent, bifurcation diagram, Poincaré section, Kaplan-Yorke dimension and phase portraits are given to justify the hyperchaotic nature of the system. The novel system displays hyperchaotic orbit, chaotic orbit, periodic orbit, quasi-periodic orbit as the parameters values varies. Furthermore, the combination-combination synchronization is performed by considering four identical 4D novel hyperchaotic systems.