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Proceedings Paper

Dual-time and cascaded anticipation of chaos synchronization
Author(s): Elman M Shahverdiev; Siva Sivaprakasam; Keith Alan Shore
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Paper Abstract

Using an Ikeda model, which was introduced to describe the dynamics of an optical bistable resonator it is demonstrated analytically that anticipating synchronization can be obtained in chaotic time-delay systems governed by two characteristic delay times. We derive existence and stability conditions for the dual-time anticipating synchronization manifold. We also show that increased anticipation times for chaotic time-delay systems with two characteristic delay times can be obtained by the use of cascaded systems. The theory is in excellent agreement with numerical simulations. We also derive existence conditions for cascaded anticipating synchronization in external cavity semiconductor lasers.

Paper Details

Date Published: 12 June 2002
PDF: 7 pages
Proc. SPIE 4646, Physics and Simulation of Optoelectronic Devices X, (12 June 2002); doi: 10.1117/12.470573
Show Author Affiliations
Elman M Shahverdiev, Univ. of Wales Bangor (United Kingdom)
Siva Sivaprakasam, Univ. of Wales Bangor (United Kingdom)
Keith Alan Shore, Univ. of Wales Bangor (United Kingdom)

Published in SPIE Proceedings Vol. 4646:
Physics and Simulation of Optoelectronic Devices X
Peter Blood; Marek Osinski; Yasuhiko Arakawa, Editor(s)

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