Finite-Time Stabilization of Unstable Orbits in the Fractional Difference Logistic Map

A control scheme for finite-time stabilization of unstable orbits the fractional difference logistic map is proposed in this paper. The presented technique based on isolated perturbation impulses used to correct evolution map’s trajectory after it deviates too far from neighborhood orbit, and does not require any feedback loops. magnitude determined by means H-rank algorithm, which helps reveal pseudo-manifold non-asymptotic convergence map. Numerical experiments are illustrate effectiveness feasibility approach, applicable beyond studied