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Chaos synchronization between single and double wells Duffing–Van der Pol oscillators using active control

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  • Njah, A.N.
  • Vincent, U.E.

Abstract

This paper presents chaos synchronization between single and double wells Duffing–Van der Pol (DVP) oscillators with Φ4 potential based on the active control technique. The technique is applied to achieve global synchronization between identical double-well DVP oscillators, identical single-well DVP oscillators and non-identical DVP oscillators, consisting of the double-well and the single-well DVP oscillators, respectively. Numerical simulations are also presented to verify the analytical results.

Suggested Citation

  • Njah, A.N. & Vincent, U.E., 2008. "Chaos synchronization between single and double wells Duffing–Van der Pol oscillators using active control," Chaos, Solitons & Fractals, Elsevier, vol. 37(5), pages 1356-1361.
    • Handle: RePEc:eee:chsofr:v:37:y:2008:i:5:p:1356-1361
    DOI: 10.1016/j.chaos.2006.10.038
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    Cited by:

    1. Kimiaeifar, A. & Saidi, A.R. & Bagheri, G.H. & Rahimpour, M. & Domairry, D.G., 2009. "Analytical solution for Van der Pol–Duffing oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2660-2666.
    2. Caneco, Acilina & Grácio, Clara & Leonel Rocha, J., 2009. "Kneading theory analysis of the Duffing equation," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1529-1538.
    3. Ke Ding, 2019. "Master-Slave Synchronization of Chaotic Φ 6 Duffing Oscillators by Linear State Error Feedback Control," Complexity, Hindawi, vol. 2019, pages 1-10, October.

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