Conference paper

Simple Chaotic Oscillator with Filtering Passive Two-port Having Fractional-order Segments

J. Petrzela (Brno Univ. of Techn., Czech Republic)

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.

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Receipt of papers:

February 29th, 2020

Notification of acceptance:

April 25th, 2020

Registration opening:

April 30th, 2020

Final paper versions:

May 15th, 2020