Hidden chaotic attractors in fractional-order discrete-time systems

Fractional calculus in discrete-time systems represents a very recent topic. The field of fractional-order discrete-time systems showing hidden attractors has been only recently investigated. Based on this consideration, in this chapter, we present a simple two-dimensional fractional discrete system. We start by introducing some basic notions and primary preliminaries related to discrete fractional calculus. Then we present fractional systems without equilibrium point, which display hidden attractors for proper values of the fractional-order system parameters. The presence of the chaotic hidden attractors is validated via the bifurcation diagrams by computation of the maximum Lyapunov exponent. By the end of the chapter we make a conclusion on the results and indicate further discussions.