Nonlinear Dynamics

, Volume 66, Issue 4, pp 707–715

Theoretical analysis and circuit implementation of a novel complicated hyperchaotic system

Original Paper


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.


Hyperchaotic system Poincaré map Lyapunov exponent Circuit implementation 


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Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical EngineeringXi’an Jiaotong UniversityXi’anChina

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