0–1 test Caputo-like delta difference Complex systems Dynamical analysis Fractional dynamics History of engineering & technology Lyapunov exponent Lyapunov exponents Power law behavior Puu system of fractional order Soccer bessel functions bifurcation diagram caputo fractional derivative chaos chaos suppression chaotic systems closed curve fixed points coexisting attractors collocation method device property discrete fractional systems fraction-order memristor fractional Levy stable motion hidden attractors impulsive control long-range dependence multi-order fractional differential equations serial and parallel symmetry