Abstract
Asymmetric voltage-current locus is an essential property of a physical memristor when applying a bipolar periodic stimulus. To emulate this asymmetric property, this paper presents an asymmetric memristive diode-bridge (AMD) emulator by inserting a DC-offset into one bridge arm of the memristive diode-bridge. The mathematic model of the AMD emulator is derived and the DC-offset induced asymmetric voltage-current loci are studied. Furthermore, this paper proposes an AMD-based Shinriki oscillator by introducing the AMD emulator into the Shinriki oscillator and investigates the DC-offset induced kinetic behaviors using several numerical analysis methods. The AMD-based Shinriki oscillator has three fixed equilibrium points, consisting of one unstable index-1 saddle-focus and two unstable asymmetric index-2 saddle-foci. Due to the introduction of the DC-offset, the symmetry of the two unstable index-2 saddle-foci equilibrium points is broken, leading to the emergence of complex asymmetric kinetic behaviors with multi-stability in the AMD-based Shinriki oscillator. Finally, a hardware circuit is developed and its experimental results are captured to verify the numerical analysis results.
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