Circuit implementation of a new hyperchaos in fractional-order system |
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Authors: | Liu Chong-Xin and Liu Ling |
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Institution: | School of Electrical Engineering, Xi'an Jiaotong
University, Xi'an 710049, China\State Key Laboratory of Electrical Insulation and Power Equipment,
Xi'an 710049, China |
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Abstract: | This paper introduces a new four-dimensional (4D) hyperchaotic
system, which has only two quadratic nonlinearity parameters but
with a complex topological structure. Some complicated dynamical
properties are then investigated in detail by using bifurcations,
Poincar\'{e} mapping, LE spectra. Furthermore, a simple fourth-order
electronic circuit is designed for hardware implementation of the 4D
hyperchaotic attractors. In particular, a remarkable
fractional-order circuit diagram is designed for physically
verifying the hyperchaotic attractors existing not only in the
integer-order system but also in the fractional-order system with an
order as low as 3.6. |
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Keywords: | hyperchaotic system fractional-order system integer-order chaotic circuit fractional-order circuit |
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