Vincent, Uchechukwu and Nana-Nbendjo, B. R. and Ajayi, A. A. and Njah, A. N. and McClintock, Peter V. E. (2015) Hyperchaos and bifurcations in a driven Van der Pol–Duffing oscillator circuit. International Journal of Dynamics and Control, 3 (4). pp. 363-370. ISSN 2195-2698
Abstract
We investigate the dynamics of a driven Van der Pol–Duffing oscillator circuit and show the existence of higher-dimensional chaotic orbits (or hyperchaos), transient chaos, strange-nonchaotic attractors, as well as quasiperiodic orbits born from Hopf bifurcating orbits. By computing all the Lyapunov exponent spectra, scanning a wide range of the driving frequency and driving amplitude parameter space, we explore in two-parameter space the regimes of different dynamical behaviours.