Dynamic sensitivities in chaotic dynamical systems

Fumihide Shiraishi, Yuji Hatoh

研究成果: ジャーナルへの寄稿学術誌査読

6 被引用数 (Scopus)

抄録

A simple method for the calculation of dynamic logarithmic gains, i.e., normalized sensitivities, is applied to four typical chaotic systems (Lorenz model, Rössler's equations, double scroll attractor, and Langford's equations) to examine an effect of the chaotic behavior on the dynamic logarithmic gains. As a result, it is found that the dynamic logarithmic gains increase exponentially while the chaotic behavior is observed. It is also shown that the observation of the dynamic logarithmic gains is useful to accurately identify the generation of the chaos.

本文言語英語
ページ(範囲)1347-1359
ページ数13
ジャーナルApplied Mathematics and Computation
186
2
DOI
出版ステータス出版済み - 3月 15 2007

!!!All Science Journal Classification (ASJC) codes

  • 計算数学
  • 応用数学

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