VECTOR FIELD DESIGN OF SCREW-TYPE CHAOS
Nebu John Mathai, Takis Zourntos, Deepa Kundur · Fluctuation and Noise Letters · 2008
The design of a screw-type chaotic system in [Formula: see text] is presented whereby the dynamical equations are constructed using geometric methods that produce a vector field with the desired properties. We utilize piecewise linear and constant dynamics for simplicity; the piecemeal dynamics are combined using switching functions. An analysis of the system shows invariance and the absence of equilibria — implying the existence of limit cycles and strange attractors; a bifurcation diagram confirms the existence of these behavioral modes and that the system undergoes a period-doubling cascade to chaos. We finally present a hardware realization of this system, and oscilloscope traces showing a chaotic system trajectory.