TITLE

Nonchaotic attractor with a highly fluctuating finite-time Lyapunov exponent in a hybrid optical system

AUTHOR(S)
Yu, YoungHun; Kim, Doo Chul; Kwak, Kuemcheol; Lim, Tong Kun; Jung, Wonki
PUB. DATE
February 2000
SOURCE
AIP Conference Proceedings;2000, Vol. 501 Issue 1, p342
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We discuss the birth of the strange nonchaotic attractor (SNA) when the system has large fluctuations of the finite-time Lyapunov exponents. We find that chaotic and periodic behaviors can be achieved, in turn, by a nearly sinusoidal perturbation. If the time interval of the chaotic divergence is long enough and the perturbations are always added, it will be enlarged by a positive finite Lyapunov exponent. The attractor created by a perturbation can be an SNA. Also, we prove the existence of a SNA by calculating the external phase sensitivity property and the local Lyapunov exponents. © 2000 American Institute of Physics.
ACCESSION #
6028293

 

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