A No-Equilibrium Multi-wing Hyperchaotic System with Two Positive Lyapunov Exponents

Qiang Chen, Chaoxia Zhang, Jinxin Ruan
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Abstract

It is well known that a large number of chaotic and hyperchaotic systems that exhibited research and application prospect in wireless multimedia sensor networks have been discovered successively. This paper proposes a novel noequilibrium hyperchaotic system composed of multi-wing attractors with two positive Lyapunov exponents by means of quadratic function control. It is noteworthy that hidden hyperchaotic attractors can be generated from this noequilibrium system. No-equilibrium analysis of multi-wing hyperchaotic system are also analyzed. Furthermore, by the symmetry conversion with respect to z -axis, intended grid m n -wing hyperchaotic system has been obtained. Finally, electronic circuits of the proposed system are designed for realizing hyperchaotic grid multi-wing attractors, which verifies the feasibility of the theoretical model.
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具有两个正Lyapunov指数的非平衡多翼超混沌系统
众所周知,在无线多媒体传感器网络中相继发现了大量具有研究和应用前景的混沌和超混沌系统。利用二次函数控制方法,提出了一种由两个正李雅普诺夫指数的多翼吸引子组成的新型非平衡超混沌系统。值得注意的是,该非平衡系统可以产生隐藏的超混沌吸引子。对多翼超混沌系统进行了非平衡分析。通过对z轴的对称变换,得到了拟网格m n-翼型超混沌系统。最后,设计了实现超混沌网格多翼吸引子的系统电路,验证了理论模型的可行性。
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