Dynamic sensitivities in chaotic dynamical systems

Fumihide Shiraishi, Yuji Hatoh

Research output: Contribution to journalArticle

6 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 languageEnglish
Pages (from-to)1347-1359
Number of pages13
JournalApplied Mathematics and Computation
Volume186
Issue number2
DOIs
Publication statusPublished - Mar 15 2007

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Chaotic Dynamical Systems
Logarithmic
Dynamical systems
Chaotic Behavior
Chaotic systems
Chaos theory
Chaotic System
Attractor
Chaos

All Science Journal Classification (ASJC) codes

  • Applied Mathematics
  • Computational Mathematics
  • Numerical Analysis

Cite this

Dynamic sensitivities in chaotic dynamical systems. / Shiraishi, Fumihide; Hatoh, Yuji.

In: Applied Mathematics and Computation, Vol. 186, No. 2, 15.03.2007, p. 1347-1359.

Research output: Contribution to journalArticle

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