Lyapunov exponent analysis of irregular fluctuations in a self-pumped BaTiO3 phase-conjugate mirror, establishing transition to chaotic behavior


Jeffrey, Phillip M. and Eason, Robert W. (1994) Lyapunov exponent analysis of irregular fluctuations in a self-pumped BaTiO3 phase-conjugate mirror, establishing transition to chaotic behavior. Journal of the Optical Society of America B, 11, (3), 476-480. (doi:10.1364/JOSAB.11.000476).

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Description/Abstract

The behavior of the phase-conjugate output from a self-pumped, BaTiO3 phase-conjugate mirror is known to exhibit temporal instabilities under certain conditions. Approaches for investigating these experimentally observed fluctuations indicate the presence of chaotic behavior. However, a dynamic system that possesses one or more positive Lyapunov exponents is by definition chaotic. For the first time, to our knowledge, we calculate directly from experimental data the largest nonnegative Lyapunov exponent of these irregular fluctuations and report examples of definite transitions from stable to chaotic behavior.

Item Type: Article
ISSNs: 0740-3224 (print)
1520-8540 (electronic)
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Subjects: Q Science > QC Physics
T Technology > TK Electrical engineering. Electronics Nuclear engineering
Divisions: University Structure - Pre August 2011 > Optoelectronics Research Centre
ePrint ID: 78239
Date Deposited: 11 Mar 2010
Last Modified: 27 Mar 2014 18:58
URI: http://eprints.soton.ac.uk/id/eprint/78239

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