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.
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Acknowledgments
UEV is supported by the Royal Society of London through the Newton International Fellowship Alumni Scheme. BRN is grateful to Brazilian Government (CNPq) for financial support within the project CNPq/PROAFRICA 490265/2010-3. We acknowledge the comments of reviewers.
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Vincent, U.E., Nana Nbendjo, B.R., Ajayi, A.A. et al. Hyperchaos and bifurcations in a driven Van der Pol–Duffing oscillator circuit. Int. J. Dynam. Control 3, 363–370 (2015). https://doi.org/10.1007/s40435-014-0118-1
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DOI: https://doi.org/10.1007/s40435-014-0118-1