Spontaneous motion of localized structures and localized patterns induced by delayed feedback

M. Tlidi; A. G. Vladimirov; D. Turaev; G. Kozyreff; D. Pieroux; T. Erneux

doi:10.1140/epjd/e2010-00144-2

Spontaneous motion of localized structures and localized patterns induced by delayed feedback

M. Tlidi, A. G. Vladimirov, D. Turaev, G. Kozyreff, D. Pieroux, T. Erneux

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

We study the properties of 2D dissipative structures in a coherently driven optical resonator subjected to a delayed feedback. It has been predicted that delayed feedback can lead to the spontaneous motion of bright localized structures [M. Tlidi et al., Phys. Rev. Lett. 103, 103904 (2009)]. We study here the phenomenon in detail. In particular, we show that the delayed feedback induces a spontaneous motion of periodic patterns and dark localized structures. We focus our analysis on nascent optical bistability regime where the space time dynamics is described by a variational Swift-Hohenberg equation. In the absence of delayed feedback, dark localized structures and patterns do not move. This behavior occurs when the product of the delay time and the feedback strength exceeds some critical value.

Original language	English
Pages (from-to)	59-65
Number of pages	7
Journal	European Physical Journal D
Volume	59
Issue number	1
DOIs	https://doi.org/10.1140/epjd/e2010-00144-2
State	Published - 1 Jan 2010
Externally published	Yes

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

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abstract = "We study the properties of 2D dissipative structures in a coherently driven optical resonator subjected to a delayed feedback. It has been predicted that delayed feedback can lead to the spontaneous motion of bright localized structures [M. Tlidi et al., Phys. Rev. Lett. 103, 103904 (2009)]. We study here the phenomenon in detail. In particular, we show that the delayed feedback induces a spontaneous motion of periodic patterns and dark localized structures. We focus our analysis on nascent optical bistability regime where the space time dynamics is described by a variational Swift-Hohenberg equation. In the absence of delayed feedback, dark localized structures and patterns do not move. This behavior occurs when the product of the delay time and the feedback strength exceeds some critical value.",

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AU - Tlidi, M.

AU - Vladimirov, A. G.

AU - Turaev, D.

AU - Kozyreff, G.

AU - Pieroux, D.

AU - Erneux, T.

PY - 2010/1/1

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N2 - We study the properties of 2D dissipative structures in a coherently driven optical resonator subjected to a delayed feedback. It has been predicted that delayed feedback can lead to the spontaneous motion of bright localized structures [M. Tlidi et al., Phys. Rev. Lett. 103, 103904 (2009)]. We study here the phenomenon in detail. In particular, we show that the delayed feedback induces a spontaneous motion of periodic patterns and dark localized structures. We focus our analysis on nascent optical bistability regime where the space time dynamics is described by a variational Swift-Hohenberg equation. In the absence of delayed feedback, dark localized structures and patterns do not move. This behavior occurs when the product of the delay time and the feedback strength exceeds some critical value.

AB - We study the properties of 2D dissipative structures in a coherently driven optical resonator subjected to a delayed feedback. It has been predicted that delayed feedback can lead to the spontaneous motion of bright localized structures [M. Tlidi et al., Phys. Rev. Lett. 103, 103904 (2009)]. We study here the phenomenon in detail. In particular, we show that the delayed feedback induces a spontaneous motion of periodic patterns and dark localized structures. We focus our analysis on nascent optical bistability regime where the space time dynamics is described by a variational Swift-Hohenberg equation. In the absence of delayed feedback, dark localized structures and patterns do not move. This behavior occurs when the product of the delay time and the feedback strength exceeds some critical value.

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Spontaneous motion of localized structures and localized patterns induced by delayed feedback

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