Dual-time and cascaded anticipation of chaos synchronization

Elman M Shahverdiev; Siva Sivaprakasam; Keith Alan Shore

doi:10.1117/12.470573

12 June 2002 Dual-time and cascaded anticipation of chaos synchronization

Elman M Shahverdiev, Siva Sivaprakasam, Keith Alan Shore

Proceedings Volume 4646, Physics and Simulation of Optoelectronic Devices X; (2002) https://doi.org/10.1117/12.470573
Event: Symposium on Integrated Optoelectronic Devices, 2002, San Jose, California, United States

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.

Citation Download Citation

Elman M Shahverdiev, Siva Sivaprakasam, and Keith Alan Shore "Dual-time and cascaded anticipation of chaos synchronization", Proc. SPIE 4646, Physics and Simulation of Optoelectronic Devices X, (12 June 2002); https://doi.org/10.1117/12.470573

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