Controlling unstable periodic orbits in a nonlinear optical system

the Ikeda map

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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

6 Citations (Scopus)

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 languageEnglish
Title of host publicationIEEE Nonlinear Optics: Materials, Fundamentals and Applications - Conference Proceedings
PublisherIEEE
Pages72-74
Number of pages3
Publication statusPublished - 1994
Externally publishedYes
EventProceedings of the 1994 IEEE Nonlinear Optics: Materials, Fundamentals and Applications - Waikoloa, HI, USA
Duration: Jul 25 1994Jul 29 1994

Other

OtherProceedings of the 1994 IEEE Nonlinear Optics: Materials, Fundamentals and Applications
CityWaikoloa, HI, USA
Period7/25/947/29/94

Fingerprint

Optical systems
Orbits
Travel time
Mirrors

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Alsing, P. M., Gavrielides, A., & Kovanis, V. (1994). Controlling unstable periodic orbits in a nonlinear optical system: the Ikeda map. In IEEE Nonlinear Optics: Materials, Fundamentals and Applications - Conference Proceedings (pp. 72-74). IEEE.

Controlling unstable periodic orbits in a nonlinear optical system : the Ikeda map. / Alsing, P. M.; Gavrielides, A.; Kovanis, V.

IEEE Nonlinear Optics: Materials, Fundamentals and Applications - Conference Proceedings. IEEE, 1994. p. 72-74.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Alsing, PM, Gavrielides, A & Kovanis, V 1994, Controlling unstable periodic orbits in a nonlinear optical system: the Ikeda map. in IEEE Nonlinear Optics: Materials, Fundamentals and Applications - Conference Proceedings. IEEE, pp. 72-74, Proceedings of the 1994 IEEE Nonlinear Optics: Materials, Fundamentals and Applications, Waikoloa, HI, USA, 7/25/94.
Alsing PM, Gavrielides A, Kovanis V. Controlling unstable periodic orbits in a nonlinear optical system: the Ikeda map. In IEEE Nonlinear Optics: Materials, Fundamentals and Applications - Conference Proceedings. IEEE. 1994. p. 72-74
Alsing, P. M. ; Gavrielides, A. ; Kovanis, V. / Controlling unstable periodic orbits in a nonlinear optical system : the Ikeda map. IEEE Nonlinear Optics: Materials, Fundamentals and Applications - Conference Proceedings. IEEE, 1994. pp. 72-74
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