Lyapunov exponent analysis of irregular fluctuations in a self-pumped BaTiO3 phase-conjugate mirror, establishing transition to chaotic behavior
Lyapunov exponent analysis of irregular fluctuations in a self-pumped BaTiO3 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 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.
476-480
Jeffrey, Phillip M.
1a16a10c-4fe5-41c6-a841-5e1f246ba815
Eason, Robert W.
e38684c3-d18c-41b9-a4aa-def67283b020
1994
Jeffrey, Phillip M.
1a16a10c-4fe5-41c6-a841-5e1f246ba815
Eason, Robert W.
e38684c3-d18c-41b9-a4aa-def67283b020
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), .
(doi:10.1364/JOSAB.11.000476).
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.
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Published date: 1994
Identifiers
Local EPrints ID: 78239
URI: http://eprints.soton.ac.uk/id/eprint/78239
ISSN: 0740-3224
PURE UUID: e9861736-f2c8-4ab0-9bfa-afc74d379129
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Date deposited: 11 Mar 2010
Last modified: 14 Mar 2024 02:33
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Author:
Phillip M. Jeffrey
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