To generate a large number of periods of identical length, by adding a shift in quantum α=0.25 or 0.75 and returning back to a map in nonlinear quantization, providing a quantum section to be linearized as a result, in the map of a nonlinear function generating chaos.

At repetitive calculation of a logistic map x(t+1)=4x(t){1-x(t)}, x(t)=x(t+1), a shift in quantum α=0.25 or 0.75 is added to an in-phase conversion quantization output Yn(t)=[2/π.arcsin(x(t))1/2.2n], and reversely converted and is fed back to internal state x(t), thus acquiring a period of (n+1) bit length for quantization resolution n.