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A novel parametrically controlled multi-scroll chaotic attractor along with electronic circuit design

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Abstract.

We propose a novel multi-scroll chaotic system captured through the Chua’s circuit. The novelty of our proposed multi-scroll system roots on the number of scrolls to be controlled by the parameters instead of changing the discontinuous functions repeatedly reported in the literature. We thoroughly investigate dynamical characteristics of the system using powerful tools of the nonlinear dynamic analysis including finite-time local Lyapunov exponents and bifurcation diagram. The practical feasibility of the proposed multi-scroll system is revealed through its electronic realization with off-the-shelf components.

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Author information

Authors and Affiliations

  1. Center for Nonlinear Dynamics, College of Engineering, Defense University, Debre Zeyit, Ethiopia

    Karthikeyan Rajagopal & Anitha Karthikeyan

  2. Department of Electronic and Automation, Vocational School of Hacıbektaş, Nevşehir Hacı Bektaş Veli University, Hacıbektaş, 50800, Nevşehir, Turkey

    Serdar Çiçek

  3. Dynamic Systems and Control Lab., Department of Mechanical Engineering, San Diego State University, San Diego, CA, USA

    Peiman Naseradinmousavi

  4. Department of Mathematics, Faculty of Computer Science and Mathematics, University of Kufa, Najaf, Iraq

    Abdul Jalil M. Khalaf

  5. Department of Bio-medical engineering, Amirkabir University of Technology, Tehran, Iran

    Sajad Jafari

Authors
  1. Karthikeyan Rajagopal
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  2. Serdar Çiçek
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  3. Peiman Naseradinmousavi
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  4. Abdul Jalil M. Khalaf
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  5. Sajad Jafari
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  6. Anitha Karthikeyan
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Corresponding author

Correspondence to Karthikeyan Rajagopal.

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Rajagopal, K., Çiçek, S., Naseradinmousavi, P. et al. A novel parametrically controlled multi-scroll chaotic attractor along with electronic circuit design. Eur. Phys. J. Plus 133, 354 (2018). https://doi.org/10.1140/epjp/i2018-12168-9

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  • DOI: https://doi.org/10.1140/epjp/i2018-12168-9

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