| 非线性迭代映射中最小李雅普诺夫指数的计算 |
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| 引用本文： | 肖达川.非线性迭代映射中最小李雅普诺夫指数的计算[J].清华大学学报(自然科学版),1990(6). |
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| 作者姓名： | 肖达川 |
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| 作者单位： | 电机工程与应用电子技术系 |
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| 摘 要： | 提出了计算迭代映射轨线的最小李雅普诺夫指数的方法，并用它计算了二维局部可逆迭代映射中奇异吸引子的最大李雅普诺夫指数作为例子，进一步计算了吸引子的分数维。
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| 关 键 词： | 非线性映射 李雅普诺夫指数 分数维 |
Computation of the Smallest Liapunov Exponent for Nonlinear Iterative Map |
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| Xiao Dachuan.Computation of the Smallest Liapunov Exponent for Nonlinear Iterative Map[J].Journal of Tsinghua University(Science and Technology),1990(6). |
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| Authors: | Xiao Dachuan |
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| Institution: | Department of Electrical Engineering |
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| Abstract: | In this paper, a computation method of the smallest Liapunov exponent for iterative map is presented. As an example, the Liapunov exponents for a 2-dimensional locally invertible iterative map are calculated. The fractal dimension of the strange attractor estimated from the exponents agrees well with that obtained from the definition of capacity dimension. |
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| Keywords: | nonlinear iterative map Liapunov exponent fractal dimension |
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