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

Duy Vo Hoang, Sifeu Takougang Kingni and Viet-Thanh Pham

Mathematical Problems in Engineering, 2017, vol. 2017, 1-11

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.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:3927184

DOI: 10.1155/2017/3927184

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