| 利用前馈神经网络计算Lyapunov指数 |
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| 引用本文： | 冯久超,马霓.利用前馈神经网络计算Lyapunov指数[J].西南师范大学学报(自然科学版),1997,22(6):632-637. |
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| 作者姓名： | 冯久超 马霓 |
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| 作者单位： | 西南师范大学物理系(冯久超)，华南理工大学电子通信工程系(马霓)，解放军广州通信学院(陈献光) |
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| 摘 要： | Ｌｙａｐｕｎｏｖ指数是混沌动力学系统的重要不变量．用基于前馈神经网络的自适应快速学习算法计算混沌动力学系统的全部Ｌｙａｐｕｎｏｖ指数．结果表明，本算法在有限的样本点及出现外部噪声的情况下，是非常可靠的．
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| 关 键 词： | 混沌 Lyapunov指数 前馈神经网络 自适应变步长 |
Computing Lyapunov exponents with feedforward neural networks |
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| Feng Jiuchao.Computing Lyapunov exponents with feedforward neural networks[J].Journal of Southwest China Normal University(Natural Science),1997,22(6):632-637. |
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| Authors: | Feng Jiuchao |
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| Abstract: | Lyapunov exponents are the important invariants of a chaotic dynamical system.Based on the fast learning algorithm of the feedforward neural networks with the adaptive variable stepsize,all Lyapunov exponents of a chaotic dynamical system are calculated.The results indicate this algorithm is very reliable in the case of limited sample points with the presence of external noise. |
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| Keywords: | chaos Lyapunov exponents feedforward neural networks adaptive variable stepsize |
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