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Delayed feedback control and bifurcation analysis of the generalized Sprott B system with hidden attractors

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Abstract

In this paper, we investigate the effect of delayed feedbacks on the generalized Sprott B system with hidden attractors and its local Hopf bifurcation. We choose the delay as the parameter, and the existence of local Hopf bifurcations are verified. By using the normal form theory and the center manifold theorem, we obtain the explicit formulae for determining the stability and direction of bifurcated periodic solutions. Finally, numerical simulations indicate that delayed feedback control plays an effective role in control of chaos.

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Authors and Affiliations

  1. School of Mathematics and Information Science, Guangxi Universities Key Lab of Complex System Optimization and Big Data Processing, Yulin Normal University, Yulin, 537000, PR China

    Y. Feng

  2. School of Mathematics and Physics, China University of Geosciences, Wuhan, 430074, PR China

    Z. Wei

  3. College of Mechanical Engineering, Beijing University of Technology, Beijing, 100124, PR China

    Z. Wei

Authors
  1. Y. Feng
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  2. Z. Wei
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Correspondence to Z. Wei.

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Feng, Y., Wei, Z. Delayed feedback control and bifurcation analysis of the generalized Sprott B system with hidden attractors. Eur. Phys. J. Spec. Top. 224, 1619–1636 (2015). https://doi.org/10.1140/epjst/e2015-02484-9

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  • DOI: https://doi.org/10.1140/epjst/e2015-02484-9

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