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Volume 27 Issue 5
Aug.  2021
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Article Contents
ZHU Shuqin, YANG Miao, ZHANG Xianhua, MIN Lequan. Constructing a chaotic system based on the Silnikov theorem[J]. Chinese Journal of Engineering, 2005, 27(5): 635-637. doi: 10.13374/j.issn1001-053x.2005.05.061
Citation: ZHU Shuqin, YANG Miao, ZHANG Xianhua, MIN Lequan. Constructing a chaotic system based on the Silnikov theorem[J]. Chinese Journal of Engineering, 2005, 27(5): 635-637. doi: 10.13374/j.issn1001-053x.2005.05.061

Constructing a chaotic system based on the Silnikov theorem

doi: 10.13374/j.issn1001-053x.2005.05.061
  • Received Date: 2004-09-10
  • Rev Recd Date: 2004-11-11
  • Available Online: 2021-08-17
  • Based on the Silnikov theorem, a theorem that confirmed the existence of Smale horseshoes sense chaos was set up. Using the theorem, a new kind of quadratic chaotic system could be constructed, which has a unique equilibrium point. A numerical simulation example demonstrated that this system could have chaotic attractor. In particular, the method could be used to generate other quadratic chaotic systems.

     

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      沈陽化工大學材料科學與工程學院 沈陽 110142

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