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

Applied Mathematics and Statistics

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

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

Access to Document

10.1016/j.physd.2003.09.033

Cite this

@article{536cd1c50810422b9139e426af1a7c66,

title = "Global manifold control in a driven laser: Sustaining chaos and regular dynamics",

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",

author = "R. Meucci and D. Cinotti and E. Allaria and L. Billings and I. Triandaf and D. Morgan and Schwartz, {I. B.}",

year = "2004",

month = feb,

day = "15",

doi = "10.1016/j.physd.2003.09.033",

language = "English",

volume = "189",

pages = "70--80",

journal = "Physica D: Nonlinear Phenomena",

issn = "0167-2789",

publisher = "Elsevier",

number = "1-2",

}

TY - JOUR

T1 - Global manifold control in a driven laser

T2 - Sustaining chaos and regular dynamics

AU - Meucci, R.

AU - Cinotti, D.

AU - Allaria, E.

AU - Billings, L.

AU - Triandaf, I.

AU - Morgan, D.

AU - Schwartz, I. B.

PY - 2004/2/15

Y1 - 2004/2/15

N2 - 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.

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

UR - http://www.scopus.com/inward/record.url?scp=0842329926&partnerID=8YFLogxK

U2 - 10.1016/j.physd.2003.09.033

DO - 10.1016/j.physd.2003.09.033

M3 - Article

AN - SCOPUS:0842329926

SN - 0167-2789

VL - 189

SP - 70

EP - 80

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

IS - 1-2

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this