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Twin birds inside and outside the cage

Author

Listed:
  • Jafari, Sajad
  • Dehghan, Soroush
  • Chen, Guanrong
  • Kingni, Sifeu Takougang
  • Rajagopal, Karthikeyan

Abstract

This paper introduces a chaotic system in the spherical coordinates which, when expressed in the Cartesian coordinate system, has a chaotic attractor located in an impassable sphere like a bird in the cage. It also has a coexisting attractor outside that sphere. Basic dynamical properties of this system are investigated and its FPGA realization is demonstrated.

Suggested Citation

  • Jafari, Sajad & Dehghan, Soroush & Chen, Guanrong & Kingni, Sifeu Takougang & Rajagopal, Karthikeyan, 2018. "Twin birds inside and outside the cage," Chaos, Solitons & Fractals, Elsevier, vol. 112(C), pages 135-140.
    • Handle: RePEc:eee:chsofr:v:112:y:2018:i:c:p:135-140
    DOI: 10.1016/j.chaos.2018.05.002
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    References listed on IDEAS

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    1. Singh, Jay Prakash & Roy, Binoy Krishna & Jafari, Sajad, 2018. "New family of 4-D hyperchaotic and chaotic systems with quadric surfaces of equilibria," Chaos, Solitons & Fractals, Elsevier, vol. 106(C), pages 243-257.
    2. Bao, B.C. & Bao, H. & Wang, N. & Chen, M. & Xu, Q., 2017. "Hidden extreme multistability in memristive hyperchaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 94(C), pages 102-111.
    3. García-Martínez, M. & Ontañón-García, L.J. & Campos-Cantón, E. & Čelikovský, S., 2015. "Hyperchaotic encryption based on multi-scroll piecewise linear systems," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 413-424.
    4. Jafari, Sajad & Sprott, J.C., 2013. "Simple chaotic flows with a line equilibrium," Chaos, Solitons & Fractals, Elsevier, vol. 57(C), pages 79-84.
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    Cited by:

    1. Joshi, Manoj & Ranjan, Ashish, 2020. "Investigation of dynamical properties in hysteresis-based a simple chaotic waveform generator with two stable equilibrium," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).

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