A Novel Four-Dimensional Hyperchaotic Four-Wing System With a Saddle–Focus Equilibrium

A Novel Four-Dimensional Hyperchaotic Four-Wing System With a Saddle–Focus Equilibrium
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DOI:
10.1109/tcsii.2016.2585680
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发表时间:
2016-06
期刊:
IEEE Transactions on Circuits and Systems II: Express Briefs
影响因子:
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通讯作者:
C. Volos;J. Maaita;S. Vaidyanathan;V. Pham;I. Stouboulos;I. Kyprianidis
C. Volos;J. Maaita;S. Vaidyanathan;V. Pham;I. Stouboulos;I. Kyprianidis
中科院分区:
其他
文献类型:
--
作者:
C. Volos;J. Maaita;S. Vaidyanathan;V. Pham;I. Stouboulos;I. Kyprianidis

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本文介绍了一种具有鞍-焦平衡的新型四维超混沌四翼系统。该系统的定性分析证实了其复杂的动力学行为,并使用了著名的非线性理论数值工具,如分岔图、李亚普诺夫指数、庞加莱图和相图进行了研究。利用电子电路对该超混沌系统进行了实验仿真,并对其动力学行为进行了研究,验证了理论模型的可行性。
A novel 4-D hyperchaotic four-wing system with a saddle–focus equilibrium is introduced in this brief. The qualitative analysis of the proposed system confirms its complex dynamic behavior, which is studied by using well-known numerical tools of nonlinear theory, such as the bifurcation diagram, Lyapunov exponents, Poincaré maps, and phase portraits. Furthermore, the novel hyperchaotic system is experimentally emulated by an electronic circuit, and its dynamic behavior is studied to confirm the feasibility of the theoretical model.