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Local Lyapunov Exponents and characteristics of fixed/periodic points embedded within a chaotic attractor
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ALI M., SAHA L.M.. Local Lyapunov Exponents and characteristics of fixed/periodic points embedded within a chaotic attractor[J]. Journal of Zhejiang University Science A, 2005, 6(4): 296-304.
@article{title="Local Lyapunov Exponents and characteristics of fixed/periodic points embedded within a chaotic attractor",
author="ALI M., SAHA L.M.",
journal="Journal of Zhejiang University Science A",
volume="6",
number="4",
pages="296-304",
year="2005",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2005.A0296"
}
%0 Journal Article
%T Local Lyapunov Exponents and characteristics of fixed/periodic points embedded within a chaotic attractor
%A ALI M.
%A SAHA L.M.
%J Journal of Zhejiang University SCIENCE A
%V 6
%N 4
%P 296-304
%@ 1673-565X
%D 2005
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2005.A0296
TY - JOUR
T1 - Local Lyapunov Exponents and characteristics of fixed/periodic points embedded within a chaotic attractor
A1 - ALI M.
A1 - SAHA L.M.
J0 - Journal of Zhejiang University Science A
VL - 6
IS - 4
SP - 296
EP - 304
%@ 1673-565X
Y1 - 2005
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2005.A0296
Abstract: A chaotic dynamical system is characterized by a positive averaged exponential separation of two neighboring trajectories over a chaotic attractor. Knowledge of the largest Lyapunov Exponent λ1 of a dynamical system over a bounded attractor is necessary and sufficient for determining whether it is chaotic (λ1>0) or not (λ1≤0). We intended in this work to elaborate the connection between local Lyapunov Exponents and the largest Lyapunov Exponent where an alternative method to calculate λ1 has emerged. Finally, we investigated some characteristics of the fixed points and periodic orbits embedded within a chaotic attractor which led to the conclusion of the existence of chaotic attractors that may not embed in any fixed point or periodic orbit within it.
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