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Hyperchaotic Chameleon: Fractional Order FPGA Implementation

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  • Karthikeyan Rajagopal
  • Anitha Karthikeyan
  • Prakash Duraisamy

Abstract

There are many recent investigations on chaotic hidden attractors although hyperchaotic hidden attractor systems and their relationships have been less investigated. In this paper, we introduce a hyperchaotic system which can change between hidden attractor and self-excited attractor depending on the values of parameters. Dynamic properties of these systems are investigated. Fractional order models of these systems are derived and their bifurcation with fractional orders is discussed. Field programmable gate array (FPGA) implementations of the systems with their power and resource utilization are presented.

Suggested Citation

  • Karthikeyan Rajagopal & Anitha Karthikeyan & Prakash Duraisamy, 2017. "Hyperchaotic Chameleon: Fractional Order FPGA Implementation," Complexity, Hindawi, vol. 2017, pages 1-16, May.
    • Handle: RePEc:hin:complx:8979408
    DOI: 10.1155/2017/8979408
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    References listed on IDEAS

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    1. Danca, Marius-F. & Tang, Wallace K.S. & Chen, Guanrong, 2016. "Suppressing chaos in a simplest autonomous memristor-based circuit of fractional order by periodic impulses," Chaos, Solitons & Fractals, Elsevier, vol. 84(C), pages 31-40.
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    Cited by:

    1. Aslmostafa, Ehsan & Mirzaei, Mohammad Javad & Asadollahi, Mostafa & Badamchizadeh, Mohammad Ali, 2021. "Synchronization problem for a class of multi-input multi-output systems with terminal sliding mode control based on finite-time disturbance observer: Application to Chameleon chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    2. Naik, Manisha Krishna & Baishya, Chandrali & Veeresha, P., 2023. "A chaos control strategy for the fractional 3D Lotka–Volterra like attractor," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 211(C), pages 1-22.
    3. Wei, Zhouchao & Akgul, Akif & Kocamaz, Uğur Erkin & Moroz, Irene & Zhang, Wei, 2018. "Control, electronic circuit application and fractional-order analysis of hidden chaotic attractors in the self-exciting homopolar disc dynamo," Chaos, Solitons & Fractals, Elsevier, vol. 111(C), pages 157-168.

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