レーザー研究
Online ISSN : 1349-6603
Print ISSN : 0387-0200
ISSN-L : 0387-0200
レーザー解説
修正カオス尺度を用いたリアプノフ指数の推定について
奥富 秀俊真尾 朋行
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ジャーナル フリー

2020 年 48 巻 5 号 p. 245-

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抄録
Chaos Degree (CD),proposed by Ohya, behaves like the Lyapunov exponent (LE). CD has a significant advantage because it can be calculated from data without knowing the dynamical systems or equations that produced the data. However, a non-negligible quantitative difference exists between CD and LE. Recently our research has shown that the quantitative differences between CD and LE can be explained by information theory under the assumption that the data are uniformly distributed. We defined a Modified CD that eliminates the difference. This paper explains the estimation of the Lyapunov exponent using Modified CD and its properties.
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