A simple hyperchaotic circuit with coexisting multiple bifurcations and offset boosting

In this paper, a fourth-order hyperchaotic circuit with smooth diode-based nonlinearity is modified from the Tamaševičius oscillator. The hyperchaotic circuit has both simple topology and algebraic equation. Some previously uncovered dynamical behaviours of multiple coexisting bifurcations, bi-stability, and offset boosting are revealed by theoretical analyses and numerical simulations. These findings are further verified by circuit simulations and hardware experiments