Four-Scroll Hyperchaotic Attractor in a Five-Dimensional Memristive Wien Bridge Oscillator: Analysis and Digital Electronic Implementation | Zendy

Gabin Jeatsa Kitio | Zendy; Cyrille Ainamon | Zendy; Karthikeyan Rajagopal | Zendy; Léandre Kamdjeu Kengne | Zendy; Sifeu Takougang Kingni | Zendy; Justin Roger Mboupda Pone | Zendy

Open Access

Four-Scroll Hyperchaotic Attractor in a Five-Dimensional Memristive Wien Bridge Oscillator: Analysis and Digital Electronic Implementation

Author(s) -

Gabin Jeatsa Kitio,

Cyrille Ainamon,

Karthikeyan Rajagopal,

Léandre Kamdjeu Kengne,

Sifeu Takougang Kingni,

Justin Roger Mboupda Pone

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/4820771

Subject(s) - multistability , lyapunov exponent , memristor , attractor , antiparallel (mathematics) , phase portrait , scroll , bifurcation , intermittency , oscillation (cell signaling) , topology (electrical circuits) , relaxation oscillator , diode , nonlinear system , mathematics , statistical physics , physics , control theory (sociology) , computer science , mathematical analysis , voltage , mechanics , engineering , quantum mechanics , artificial intelligence , biology , genetics , control (management) , magnetic field , mechanical engineering , combinatorics , turbulence , voltage controlled oscillator

An electronic implementation of a novel Wien bridge oscillation with antiparallel diodes is proposed in this paper. As a result, we show by using classical nonlinear dynamic tools like bifurcation diagrams, Lyapunov exponent plots, phase portraits, power density spectra graphs, time series, and basin of attraction that the oscillator transition to chaos is operated by intermittency and interior crisis. Some interesting behaviors are found, namely, multistability, hyperchaos, transient chaos, and bursting oscillations. In comparison with some memristor-based oscillators, the plethora of dynamics found in this circuit with current-voltage (i–v) characteristic of diodes mounted in the antiparallel direction represents a major advance in the knowledge of the behavior of this circuit. A suitable microcontroller based design is built to support the numerical findings as these experimental results are in good agreement.

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