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几类高维类Lorenz混沌模型的稳定性分析及其仿真 被引量：1

Stability Analysis of High-order Chaotic Models
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摘要 研究了平面正方形区域上不可压缩的Navier-Stokes方程4、5模类Lorenz方程组的混沌行为问题.并且用matlab给出了相应的计算机模拟。 In this article,we study the dynamical behavior of a four and five modes Lorenz system of the Navier-Stokes equations for a two-dimensional incompressible fluid on a torus by theoretical analysis and computer simulation.
作者 汤志浩 张勇
机构地区 河南工业职业技术学院基础教学部
出处 《江西科学》 2015年第4期464-466,共3页 Jiangxi Science
基金 南阳市科技发展计划科技攻关项目(2012GG035 2013GG048) 南阳市科技发展计划软科学项目(2013RK013)
关键词 NAVIER-STOKES方程 混沌控制 混沌吸引子 Navier-Stokes equations chaotic control chaotic attractor
分类号 O241.84 [理学—计算数学] O29 [理学—应用数学]
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共引文献30

同被引文献24

  • 1闫振亚.复杂非线性波的构造性理论及其应用[M].北京:科学出版社,2002.
  • 2CHEN G R,UETA T.Yet another chaotic attractor[J].International Journal of Bifurcation and Chaos,1999,9(7):1465-1466.
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  • 4LU J,CHEN G,CHENG D,et al.Bridge the gap between the Lorenz system and the Chen system[J].International Journal of Bifurcation and Chaos,2002,12(12):2917-2926.
  • 5WANG XINGYUAN,WANG MINGJUN.A hyperchaos generated from Lorenz system[J].Physica A:Statistical Mechanics and Its Applications,2008,387(14):3751-3758.
  • 6SONG ZlGEN,ZHEN BIN,XU JIAN.Species coexistence and chaotic behavior induced by multiple delays in a food chain system[J].Ecological Complexity,2014,19:9-17.
  • 7SONG ZIGEN,XU JIAN,LI QUNHONG.Local and global bifurcations in an SIRS epidemic model[J].Applied Mathematics and Computation,2009*214:534-547.
  • 8SONG ZIGEN,XU JIAN.Stability switches and double Hopf bifurcation in a two-neural network system with multiple delays [J].Cognitive Neurodynamics,2013,7:505-521.
  • 9SONG ZIGEN, XU JIAN.Stability switches and multi-stability coexistence in a delay-coupled neural oscillators system[J].Journal of Theoretical Biology,2012,313:98-114.
  • 10WANG XINGYUAN,HE GUOXIANG.Cryptanalysis on a novel image encryption method based on total shuffling scheme [J].Optics Communications,2011,284(24):5804-5807.

引证文献1

江西科学
2015年 第4期

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