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Nonlinear dynamics of a class of derivative controlled Chua’s circuit

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Abstract

A derivative control technique has been proposed to control the chaotic behavior of a Chua’s circuit. The chaotic oscillations of the system can be controlled externally by adjusting the feedback resistance in the derivative control arm. For a proper choice of the feedback resistance the system initially in chaotic region can be driven to the steady state region. In addition to that the shifting of the chaotic attractor for different parameter set has been observed. Moreover, the same technique can be used to generate chaotic oscillations in a Chua’s circuit, which would otherwise exhibit steady behaviour. The analytical predictions along with the numerical analysis and experimental results have been reported to establish the present work.

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Authors and Affiliations

  1. Department of Physics, Raniganj Girls’ College, Raniganj, 713358, India

    Saumendra Sankar De Sarkar

  2. Department of Physics, Bidhan Chandra College, Asansol, 713304, India

    Saumen Chakraborty

Authors
  1. Saumendra Sankar De Sarkar
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  2. Saumen Chakraborty
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Correspondence to Saumen Chakraborty.

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De Sarkar, S.S., Chakraborty, S. Nonlinear dynamics of a class of derivative controlled Chua’s circuit. Int. J. Dynam. Control 6, 827–834 (2018). https://doi.org/10.1007/s40435-017-0346-2

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  • DOI: https://doi.org/10.1007/s40435-017-0346-2

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