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Using chaos to reduce oscillations: Experimental results

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  • Dąbrowski, A.
  • Kapitaniak, T.

Abstract

Chaotic dynamic systems are usually controlled in a way, which allows the replacement of chaotic behavior by the desired periodic motion. We give the example in which an originally regular (periodic) system is controlled in such a way as to make it chaotic. This approach based on the idea of dynamical absorber allows the significant reduction of the amplitude of the oscillations in the neighborhood of the resonance. We present experimental results, which confirm our previous numerical studies [Dąbrowski A, Kapitaniak T. Using chaos to reduce oscillations. Nonlinear Phenomen Complex Syst 2001;4(2):206–11].

Suggested Citation

  • Dąbrowski, A. & Kapitaniak, T., 2009. "Using chaos to reduce oscillations: Experimental results," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1677-1683.
  • Handle: RePEc:eee:chsofr:v:39:y:2009:i:4:p:1677-1683
    DOI: 10.1016/j.chaos.2007.06.126
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    Cited by:

    1. Navarro-López, Eva M. & Licéaga-Castro, Eduardo, 2009. "Non-desired transitions and sliding-mode control of a multi-DOF mechanical system with stick-slip oscillations," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2035-2044.

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