Circuit implementation of a new hyperchaos in fractional-order system
.. Liu Chong-Xin(刘崇新) and Liu Ling(刘凌)
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
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, Poincaré 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.
Received: 09 January 2008
Revised: 24 February 2008
Accepted manuscript online:
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