access icon free Chaotic bursting in memristive diode bridge-coupled Sallen-Key lowpass filter

This Letter reports the finding of a point-cycle chaotic bursting phenomenon in a simple third-order memristive diode bridge-coupled Sallen-Key lowpass filter (LPF). By parallel coupling a generalised memristor composed of a diode bridge and an inductor into a Sallen-Key LPF a simple third-order memristive chaotic oscillator is established. With the modelling of this oscillator, stability analyses, numerical simulations and hardware experiments are performed, upon which the striking point-cycle chaotic bursting phenomenon is well demonstrated and effectively validated.

Inspec keywords: diodes; memristor circuits; bridge circuits; chaos; low-pass filters; numerical analysis; circuit stability; oscillators

Other keywords: point-cycle chaotic bursting phenomenon; stability analyses; third-order memristive chaotic oscillator; hardware experiments; generalised memristor; Sallen-Key LPF; inductor; numerical simulations; parallel coupling; memristive diode bridge-coupled Sallen-Key low-pass filter

Subjects: Oscillators; Chaotic behaviour in circuits; Filters and other networks; Other numerical methods

References

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      • 5. Van Valkenburg, M.E.: ‘Analog filter design’ (Holt, Rinehart & Winston, New York, 1982).
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      • 3. Ahamed, A.I., Lakshmanan, M.: ‘Nonsmooth bifurcations, transient hyperchaos and hyperchaotic beats in a memristive Murali-Lakshmanan-Chua circuit’, Int. J. Bifurc. Chaos, 2013, 23, pp. 1350098-11350098-28.
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