Abstract:
Modeling real life phenomena often leads to complex nonlinear dynamics
such as bifurcation and chaos. The study of such problems has attracted interest of many
scientists over the past decades. In this paper, we present a method for constructing
some discrete four dimensional (4-D) hyperchaotic systems. A nonclassical procedure for
discretising autonomous 4-D continuous hyperchaotic systems is applied; a parameter is
introduced in this process. By adjusting this parameter, until we obtain exactly two
equal-positive Lyapunov exponents, a new discrete 4-D hyperchaotic system is realised.
We prove that these discrete systems are bounded-input bounded-output (BIBO) stable.
Our illustrative results show that the constructed discrete systems and their continuous
counterparts have similar phase portraits.
