Global manifold control in a driven laser: Sustaining chaos and regular dynamics

R. Meucci; D. Cinotti; E. Allaria; L. Billings; I. Triandaf; D. Morgan; I. B. Schwartz

doi:10.1016/j.physd.2003.09.033

Global manifold control in a driven laser: Sustaining chaos and regular dynamics

R. Meucci, D. Cinotti, E. Allaria, L. Billings, I. Triandaf, D. Morgan, I. B. Schwartz

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24 Scopus citations

Abstract

We present experimental and numerical evidence of a multi-frequency phase control able to preserve periodic behavior within a chaotic window as well as to re-excite chaotic behavior when it is destroyed by the presence of a mitigating unstable periodic orbit created in the presence of the multi-frequency drive. The mitigating saddle controlling the global behavior is identified and the controlling manifolds approximated.

Original language	English
Pages (from-to)	70-80
Number of pages	11
Journal	Physica D: Nonlinear Phenomena
Volume	189
Issue number	1-2
DOIs	https://doi.org/10.1016/j.physd.2003.09.033
State	Published - 15 Feb 2004

Keywords

Chaos dynamics
Driven laser
Regular dynamics

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10.1016/j.physd.2003.09.033

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abstract = "We present experimental and numerical evidence of a multi-frequency phase control able to preserve periodic behavior within a chaotic window as well as to re-excite chaotic behavior when it is destroyed by the presence of a mitigating unstable periodic orbit created in the presence of the multi-frequency drive. The mitigating saddle controlling the global behavior is identified and the controlling manifolds approximated.",

keywords = "Chaos dynamics, Driven laser, Regular dynamics",

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AU - Billings, L.

AU - Triandaf, I.

AU - Morgan, D.

AU - Schwartz, I. B.

PY - 2004/2/15

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AB - We present experimental and numerical evidence of a multi-frequency phase control able to preserve periodic behavior within a chaotic window as well as to re-excite chaotic behavior when it is destroyed by the presence of a mitigating unstable periodic orbit created in the presence of the multi-frequency drive. The mitigating saddle controlling the global behavior is identified and the controlling manifolds approximated.

KW - Chaos dynamics

KW - Driven laser

KW - Regular dynamics

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Global manifold control in a driven laser: Sustaining chaos and regular dynamics

Abstract

Keywords

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