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

Yu, YoungHun; Kim, Doo Chul; Kwak, Kuemcheol; Lim, Tong Kun; Jung, Wonki
February 2000
AIP Conference Proceedings;2000, Vol. 501 Issue 1, p342
Academic Journal
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.


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