Theoretical analysis and circuit implementation of a novel complicated hyperchaotic system |
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| Authors: | Email author" target="_blank">Ling?LiuEmail author Chongxin?Liu Yanbin?Zhang |
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| Institution: | 1.State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering,Xi’an Jiaotong University,Xi’an,China |
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| Abstract: | This article presents a new hyperchaotic system of four-dimensional quadratic autonomous ordinary differential equations,
which has one equilibrium point and two quadratic nonlinearities. Some basic dynamical properties are further investigated
by means of Poincaré mapping, parameter phase portraits, and calculated Lyapunov exponents and power spectra. The existence
of the hyperchaotic system is verified not only by theoretical analysis but also by conducting a novel fourth-order electronic
circuit experiment. Various attractors of experimental results show that this 4D hyperchaotic system is different from the
historically proposed system and has good engineering application prospects. |
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