A No-Equilibrium Hyperchaotic System and Its Fractional-Order Form
2017 ◽
Vol 2017
◽
pp. 1-11
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Keyword(s):
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.
2014 ◽
Vol 2014
◽
pp. 1-14
◽
2014 ◽
Vol 2014
◽
pp. 1-8
◽
2018 ◽
Vol 28
(04)
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pp. 1850050
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2019 ◽
Vol 29
(14)
◽
pp. 1950203
◽
2016 ◽
Vol 2016
◽
pp. 1-3
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