Lyapunov exponent analysis of irregular fluctuations in a self-pumped BaTiO<sub>3</sub> phase-conjugate mirror, establishing transition to chaotic behavior

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 syst...

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Bibliographic Details
Main Authors: Jeffrey, Phillip M. (Author), Eason, Robert W. (Author)
Format: Article
Language:English
Published: 1994.
Subjects:
Online Access:Get fulltext
LEADER 01074 am a22001333u 4500
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042 |a dc 
100 1 0 |a Jeffrey, Phillip M.  |e author 
700 1 0 |a Eason, Robert W.  |e author 
245 0 0 |a Lyapunov exponent analysis of irregular fluctuations in a self-pumped BaTiO<sub>3</sub> phase-conjugate mirror, establishing transition to chaotic behavior 
260 |c 1994. 
856 |z Get fulltext  |u https://eprints.soton.ac.uk/78239/1/837.pdf 
520 |a 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. 
655 7 |a Article