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陈氏吸引子

陈氏吸引子(Chen attractor),1999年 陈关荣和植田提出另类混沌吸引子[1],被称为陈氏吸引子。

陈氏系统有以下一组微分方程表示:

数值解

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Chen 吸引子

利用龙格-库塔法可以求得陈氏系统的混沌吸引子图形和波形:[2]

右图陈氏吸引子的参数:

a = 40, c = 28, b = 3

初始条件:

x(0) = -0.1, y(0) = 0.5, z(0) = -0.6
a = 35, c = 27, b = 2.8,x(0) = -.1, y(0) = .3, z(0) = -.6

参考文献

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  1. ^ Chen G. Ueta.T. Yet another chaotic attractor, Journal of Bifurcation and Chaos, 1999 9:1465
  2. ^ 阎振亚著 《复杂非线性波的构造性理论及其应用》第17页 科学出版社 2007年

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陈氏吸引子
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