A novel hyperchaotic three-component oscillator operating at high frequency. (January 2019)

• Record Type: Journal Article
• Authors: Tchitnga, R.; Mezatio, B.A.; Fozin, T. Fonzin; Kengne, R.; Louodop Fotso, P.H.; Fomethe, A.
• Is Part Of: Chaos, solitons and fractals. Volume 118(2019)
• Page Start: 166
• Page End: 180
• Publication Date: 2019-01
• Subjects: Three-component oscillators -- High frequency -- Hyperchaos -- Bistability -- Bursting -- Oscillations -- Experimental study; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2018.11.015
• Languages: English
• ISSNs: 0960-0779

Abstract

Highlights: A novel hyperchaotic oscillator and its mathematical model. Numerical evidence metastable chaos and bursting oscillations. Coexistence of two disconnected attractors. Experimental evidence of the hyperchaotic oscillations in the NHO. Abstract: This paper is investigating the hyperchaotic dynamics of a novel hyperchaotic oscillator (made of only three electronics components namely a transformer, a capacitor and a junction field effect transistor (JFET)) obtained by modifying the simple chaotic circuit proposed by Tchitnga et al. (doi:10.1016/j.chaos.2011.12.017) and published within this journal. The various laboratory tests on the novel three components oscillator help to confirm that it operates at high frequencies. Henceforth, justified the choice of Giacolleto model of JFET. Hyperchaos is analysed using well known nonlinear dynamic tools including bifurcation diagrams, Lyapunov exponent spectrum, phase portraits and Poincaré sections. Likewise, the high frequency is confirmed through the frequency spectrum simulated with PSpice. The systems also present the striking phenomena of hysteretic dynamics (bistability) and transient chaos as well as bursting oscillations over a wide range of its control parameter region. The measurements from experimental investigations are in accordance with the obtained numerical results.