Estimate the largest Lyapunov exponent of fractional-order systems

In this paper, the small data sets algorithm of calculating the Largest Lyapunov exponent for integer-order systems is used for fractional order systems. As an example, the largest Lyapunov exponent of the fractional-order Rossler system is investigated. The lowest order for this system to have chao...

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Bibliographic Details
Published in2008 International Conference on Communications, Circuits and Systems pp. 1121 - 1124
Main Authors Weiwei Zhang, Shangbo Zhou, Xiaofeng Liao, Huanhuan Mai, Ke Xiao
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.05.2008
Subjects
Chaos
Equations
Fractals
Heuristic algorithms
Mathematical model
Nearest neighbor searches
Solitons
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ISBN9781424420636
1424420636
DOI10.1109/ICCCAS.2008.4657964

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Summary:In this paper, the small data sets algorithm of calculating the Largest Lyapunov exponent for integer-order systems is used for fractional order systems. As an example, the largest Lyapunov exponent of the fractional-order Rossler system is investigated. The lowest order for this system to have chaotic behavior is presented. The largest Lyapunov exponents of fractional-order Rossler system with different orders and parameters are given.
ISBN:9781424420636
1424420636
DOI:10.1109/ICCCAS.2008.4657964