Controlling unstable periodic orbits in a nonlinear optical system: the Ikeda map

P. M. Alsing; A. Gavrielides; V. Kovanis

Controlling unstable periodic orbits in a nonlinear optical system: the Ikeda map

P. M. Alsing, A. Gavrielides, V. Kovanis

Research output: Contribution to conference › Paper › peer-review

Abstract

The application of the Ott, Grebogi and Yorke (OGY) scheme and some of its variants to the Ikeda-Hammel-Jones-Maloney map are discussed here. The Ikeda map can be envisioned as arising from a string of light pulses of intracavity amplitude impinging on a partially transmitting mirror of a ring cavity with a nonlinear dispersive medium. It is assumed here that the time interval between the pulses is adjusted to the round-trip travel time in the ring cavity.

Original language	English
Pages	72-74
Number of pages	3
Publication status	Published - Dec 1 1994
Externally published	Yes
Event	Proceedings of the 1994 IEEE Nonlinear Optics: Materials, Fundamentals and Applications - Waikoloa, HI, USA Duration: Jul 25 1994 → Jul 29 1994

Other

Other	Proceedings of the 1994 IEEE Nonlinear Optics: Materials, Fundamentals and Applications
City	Waikoloa, HI, USA
Period	7/25/94 → 7/29/94

ASJC Scopus subject areas

Engineering(all)

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Cite this

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title = "Controlling unstable periodic orbits in a nonlinear optical system: the Ikeda map",

abstract = "The application of the Ott, Grebogi and Yorke (OGY) scheme and some of its variants to the Ikeda-Hammel-Jones-Maloney map are discussed here. The Ikeda map can be envisioned as arising from a string of light pulses of intracavity amplitude impinging on a partially transmitting mirror of a ring cavity with a nonlinear dispersive medium. It is assumed here that the time interval between the pulses is adjusted to the round-trip travel time in the ring cavity.",

author = "Alsing, {P. M.} and A. Gavrielides and V. Kovanis",

year = "1994",

month = dec,

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language = "English",

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note = "Proceedings of the 1994 IEEE Nonlinear Optics: Materials, Fundamentals and Applications ; Conference date: 25-07-1994 Through 29-07-1994",

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AU - Alsing, P. M.

AU - Gavrielides, A.

AU - Kovanis, V.

PY - 1994/12/1

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N2 - The application of the Ott, Grebogi and Yorke (OGY) scheme and some of its variants to the Ikeda-Hammel-Jones-Maloney map are discussed here. The Ikeda map can be envisioned as arising from a string of light pulses of intracavity amplitude impinging on a partially transmitting mirror of a ring cavity with a nonlinear dispersive medium. It is assumed here that the time interval between the pulses is adjusted to the round-trip travel time in the ring cavity.

AB - The application of the Ott, Grebogi and Yorke (OGY) scheme and some of its variants to the Ikeda-Hammel-Jones-Maloney map are discussed here. The Ikeda map can be envisioned as arising from a string of light pulses of intracavity amplitude impinging on a partially transmitting mirror of a ring cavity with a nonlinear dispersive medium. It is assumed here that the time interval between the pulses is adjusted to the round-trip travel time in the ring cavity.

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