access icon openaccess Sallen–Key low-pass filter-based inductor-free simplified Chua's circuit

This present study reports a new type of inductor-free simplified Chua's circuit only using two-op-amps-based realisation, which is implemented by cascading a Sallen–Key low-pass filter with a simplified Chua's diode. With mathematical model-based numerical simulations and hardware circuit-based experimental measurements, it is demonstrated that the reported circuit exhibits the similar dynamical behaviours of the classical Chua's circuit such as point attractor, limit cycles, period doubling route, chaotic spiral attractors, double-scroll chaotic attractor, boundary crisis, coexisting bifurcation modes, and so on. Furthermore, the proposed circuit enriches the realisation forms of Chua's circuit family.

Inspec keywords: Chua's circuit; low-pass filters; operational amplifiers; numerical analysis

Other keywords: point attractor; numerical simulation; simplified Chua diode; Sallen-Key low-pass filter; hardware circuit-based experimental measurement; chaotic spiral attractor; boundary crisis; double-scroll chaotic attractor; two-op-amps-based realisation; inductor-free simplified Chua circuit; coexisting bifurcation mode; mathematical model; period doubling route; limit cycle

Subjects: Amplifiers; Filters and other networks; Other numerical methods

References

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      • 4. Van Valkenburg, M.E.: ‘Analog filter design’ (Holt, Rinehart & Winston, New York, 1982).
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      • 2. Kennedy, M.P.: ‘Robust op amp realization of Chua's circuit’, Frequenz, 1992, 46, (3–4), pp. 6680.
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http://iet.metastore.ingenta.com/content/journals/10.1049/joe.2017.0311
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content/journals/10.1049/joe.2017.0311
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