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Controlling chaos in a food chain model

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  • Singh, Anuraj
  • Gakkhar, Sunita

Abstract

In this paper, different mechanisms are used to suppress the chaos in a food chain model. The control is applied to the chaotic system so as the controlled system admits a stable attractor which may be an equilibrium point or a limit cycle. The bounded feedback is used to achieve the stabilization of unstable fixed point of the uncontrolled chaotic system. Delayed feedback control is used to control the chaos to periodic orbits. Numerical results substantiate the analytical findings.

Suggested Citation

  • Singh, Anuraj & Gakkhar, Sunita, 2015. "Controlling chaos in a food chain model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 115(C), pages 24-36.
    • Handle: RePEc:eee:matcom:v:115:y:2015:i:c:p:24-36
    DOI: 10.1016/j.matcom.2015.04.001
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    References listed on IDEAS

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    1. Zhao, Min & Lv, Songjuan, 2009. "Chaos in a three-species food chain model with a Beddington–DeAngelis functional response," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2305-2316.
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    5. Naji, Raid Kamel & Balasim, Alla Tariq, 2007. "Dynamical behavior of a three species food chain model with Beddington–DeAngelis functional response," Chaos, Solitons & Fractals, Elsevier, vol. 32(5), pages 1853-1866.
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    Cited by:

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