Four-Scroll Hyperchaotic Attractor in a Five-Dimensional Memristive Wien Bridge Oscillator: Analysis and Digital Electronic Implementation. (19th October 2021)

• Record Type: Journal Article
• Authors: Kitio, Gabin Jeatsa; Ainamon, Cyrille; Rajagopal, Karthikeyan; Kengne, Léandre Kamdjeu; Kingni, Sifeu Takougang; Mboupda Pone, Justin Roger
• Other Names: Grassi Giuseppe Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2021(2021)
• Publication Date: 2021-10-19
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2021/4820771
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : 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.