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Hyperchaos and bifurcations in a driven Van der Pol–Duffing oscillator circuit

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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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Authors and Affiliations

  1. Department of Physical Sciences, Redeemer’s University, Redemption City, Nigeria

    U. E. Vincent

  2. Department of Physics, Lancaster University, Lancaster, LA1 4YB, United Kingdom

    U. E. Vincent

  3. Laboratory of Modeling and Simulation in Engineering, Biomimetism and Prototypes, Faculty of Sciences, University of Yaounde I, Yaoundé, Cameroon

    B. R. Nana Nbendjo

  4. Department of Physics, University of Agriculture Abeokuta, P.M.B. 2240, Abeokuta, Nigeria

    A. A. Ajayi

  5. Department of Physics, Federal College of Education, Akoka, Yaba, Lagos, Nigeria

    A. A. Ajayi

  6. Department of Physics, University of Lagos, Akoka, Lagos, Nigeria

    A. N. Njah

  7. Department of Physics, Lancaster University, Lancaster, LA1 4YB, United Kingdom

    P. V. E. McClintock

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  1. U. E. Vincent
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  2. B. R. Nana Nbendjo
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  3. A. A. Ajayi
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  4. A. N. Njah
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  5. P. V. E. McClintock
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Correspondence to U. E. Vincent.

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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

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