Simple Chaotic Oscillator with Filtering Passive Two-Port Having Fractional-Order Segments

Abstract

Individual results coming from this paper can be considered as computer-aided confirmation of presence of robust chaos within dynamics of lumped electronic system composed by a closed-loop of filter and nonlinear active two-port. It is showed that the fully-passive voltage-mode filter with a fractional-order sub-part can generate interesting dense strange state attractors. Moreover, these attractors are geometrically different from those produced by a similar integer-order mathematical model which is a third-order autonomous deterministic dynamical system. There is strong reason to believe that oscillators provided in this paper belong to the simplest-possible fractional-order chaotic systems. Existence of the structurally stable chaotic attractors is proved by showing plane projections, i.e. oscilloscope screenshots.