A fully qualified four-wing four-dimensional autonomous chaotic system and its synchronization
A fully qualified four-wing four-dimensional autonomous chaotic system and its synchronization
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完全合格的四翼四维自治混沌系统及其同步
DOI：
10.1016/j.ijleo.2016.11.067
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发表时间：
2017-02
期刊：
影响因子：
3.1
通讯作者：
Zhou Zhili
中科院分区：
文献类型：
--
作者：
Yu Fei;Gao Lei;Gu Ke;Yin Bo;Wan Qiuzhen;Zhou Zhili
In order to generate a real four-wing chaotic attractor, a new four-dimensional (4D) smooth quadratic autonomous system which is constructed by a linear controller to a three-dimensional (3D) pseudo four-wing system is proposed in this paper. Some complex dynamical behaviors such as equilibrium points and chaos are investigated and analyzed. The corresponding four-wing chaotic attractor is first numerically verified through investigating phase trajectories, Lyapunove exponents, bifurcation diagram, analysis of power spectrum and Poincaré maps. Furthermore, an oscillator circuit is designed for implementation, with Multisim observations for verification and demonstration. Finally, an extended synchronization approach is proposed for synchronizing the four-wing chaotic system. On the basis of Jacobin matrix method, it is not necessary to construct the Lyapunov functions, which makes this scheme simpler. Theoretical analysis and numerical simulations demonstrate the validity and feasibility of the proposed control method.
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DOI：
10.1016/j.na.2010.09.051
发表时间：
2011-02
期刊：
Fuel and Energy Abstracts
影响因子：
--
作者：
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DOI：
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期刊：
--
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影响因子：
5.6
作者：
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DOI：
10.1142/s0218127404009880
发表时间：
2004-04
期刊：
Int. J. Bifurc. Chaos
影响因子：
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