Analysis of a novel four-wing hyperchaotic system from pseudo to real and circuit experimental research

作者：Wu Chaojun^*; Zhang Yanbin; Yang Ningning

来源：2014 International Conference on Information Science, Electronics and Electrical Engineering, ISEEE 2014, 2014-04-26 To 2014-04-28.

DOI：10.1109/InfoSEEE.2014.6947848

• Bifurcation diagram
• Chaotic attractors
• Circuit experiments
• Dynamical characteristics
• Experimental research
• four-wing attractor
• Hyper-chaotic systems
• Lyapunov exponent

In this thesis, a novel four-wing hyperchaotic system is constructed and proposed. In the process of investigating the dynamical characteristics of a four-dimensional (4D) hyperchaotic system, we observed that there are two double-wing chaotic attractors which appear dependent of the initial values coexisting in the system. In other words, the system has pseudo four-wing attractors. In order to generate real four-wing attractor, we introduce a linear term to the equation of the hyperchaotic system to construct a real four-wing hyperchaotic system. And the four-wing attractors are investigated through Poincaré mapping, Lyapunov exponents, and bifurcation diagram. Finally, we implement the four-wing attractor by numerical simulation and circuit experiment.