A novel hyperchaotic three-component oscillator operating at high frequency

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 Poincare 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. (C) 2018 Elsevier Ltd. All rights reserved.