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A No-Equilibrium Hyperchaotic System and Its Fractional-Order Form

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  • Duy Vo Hoang
  • Sifeu Takougang Kingni
  • Viet-Thanh Pham

Abstract

No-equilibrium system with chaotic behavior has attracted considerable attention recently because of its hidden attractor. We study a new four-dimensional system without equilibrium in this work. The new no-equilibrium system exhibits hyperchaos and coexisting attractors. Amplitude control feature of the system is also discovered. The commensurate fractional-order version of the proposed system is studied using numerical simulations. By tuning the commensurate fractional-order, the proposed system displays a wide variety of dynamical behaviors ranging from coexistence of quasiperiodic and chaotic attractors and bistable chaotic attractors to point attractor via transient chaos.

Suggested Citation

  • Duy Vo Hoang & Sifeu Takougang Kingni & Viet-Thanh Pham, 2017. "A No-Equilibrium Hyperchaotic System and Its Fractional-Order Form," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-11, June.
    • Handle: RePEc:hin:jnlmpe:3927184
    DOI: 10.1155/2017/3927184
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