Dynamic sensitivities in chaotic dynamical systems

Fumihide Shiraishi; Yuji Hatoh

doi:10.1016/j.amc.2006.07.141

Dynamic sensitivities in chaotic dynamical systems

Fumihide Shiraishi, Yuji Hatoh

Systems Biology

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1347-1359
Number of pages	13
Journal	Applied Mathematics and Computation
Volume	186
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2006.07.141
Publication status	Published - Mar 15 2007

All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2006.07.141

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abstract = "A simple method for the calculation of dynamic logarithmic gains, i.e., normalized sensitivities, is applied to four typical chaotic systems (Lorenz model, R{\"o}ssler'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.",

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Dynamic sensitivities in chaotic dynamical systems

Abstract

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