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

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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Hyperchaos and bifurcations in a driven Van der Pol–Duffing oscillator circuit. / Vincent, Uchechukwu; Nana-Nbendjo, B. R.; Ajayi, A. A. et al.
In: International Journal of Dynamics and Control, Vol. 3, No. 4, 12.2015, p. 363-370.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Vincent, U, Nana-Nbendjo, BR, Ajayi, AA, Njah, AN & McClintock, PVE 2015, 'Hyperchaos and bifurcations in a driven Van der Pol–Duffing oscillator circuit', International Journal of Dynamics and Control, vol. 3, no. 4, pp. 363-370. https://doi.org/10.1007/s40435-014-0118-1

APA

Vincent, U., Nana-Nbendjo, B. R., Ajayi, A. A., Njah, A. N., & McClintock, P. V. E. (2015). Hyperchaos and bifurcations in a driven Van der Pol–Duffing oscillator circuit. International Journal of Dynamics and Control, 3(4), 363-370. https://doi.org/10.1007/s40435-014-0118-1

Vancouver

Vincent U, Nana-Nbendjo BR, Ajayi AA, Njah AN, McClintock PVE. Hyperchaos and bifurcations in a driven Van der Pol–Duffing oscillator circuit. International Journal of Dynamics and Control. 2015 Dec;3(4):363-370. Epub 2014 Aug 6. doi: 10.1007/s40435-014-0118-1

Author

Vincent, Uchechukwu ; Nana-Nbendjo, B. R. ; Ajayi, A. A. et al. / Hyperchaos and bifurcations in a driven Van der Pol–Duffing oscillator circuit. In: International Journal of Dynamics and Control. 2015 ; Vol. 3, No. 4. pp. 363-370.

Bibtex

@article{6a3b5d5c4fe744e8af32e780815868f1,
title = "Hyperchaos and bifurcations in a driven Van der Pol–Duffing oscillator circuit",
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), transientchaos, 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.",
keywords = "Hyperchaos, Transient chaos, Chaos, Strange attractors, Driven Van der-Duffing",
author = "Uchechukwu Vincent and Nana-Nbendjo, {B. R.} and Ajayi, {A. A.} and Njah, {A. N.} and McClintock, {Peter V. E.}",
note = "The final publication is available at Springer via http://dx.doi.org/10.1007/s40435-014-0118-1",
year = "2015",
month = dec,
doi = "10.1007/s40435-014-0118-1",
language = "English",
volume = "3",
pages = "363--370",
journal = "International Journal of Dynamics and Control",
issn = "2195-2698",
publisher = "Springer International Publishing AG",
number = "4",

}

RIS

TY - JOUR

T1 - Hyperchaos and bifurcations in a driven Van der Pol–Duffing oscillator circuit

AU - Vincent, Uchechukwu

AU - Nana-Nbendjo, B. R.

AU - Ajayi, A. A.

AU - Njah, A. N.

AU - McClintock, Peter V. E.

N1 - The final publication is available at Springer via http://dx.doi.org/10.1007/s40435-014-0118-1

PY - 2015/12

Y1 - 2015/12

N2 - We investigate the dynamics of a driven Van der Pol–Duffing oscillator circuit and show the existence of higher-dimensional chaotic orbits (or hyperchaos), transientchaos, 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.

AB - We investigate the dynamics of a driven Van der Pol–Duffing oscillator circuit and show the existence of higher-dimensional chaotic orbits (or hyperchaos), transientchaos, 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.

KW - Hyperchaos

KW - Transient chaos

KW - Chaos

KW - Strange attractors

KW - Driven Van der-Duffing

U2 - 10.1007/s40435-014-0118-1

DO - 10.1007/s40435-014-0118-1

M3 - Journal article

VL - 3

SP - 363

EP - 370

JO - International Journal of Dynamics and Control

JF - International Journal of Dynamics and Control

SN - 2195-2698

IS - 4

ER -