Stability of periodic waves generated by subcritical oscillatory instability under the action of feedback control

Periodic solutions of a subcritical cubic complex Ginzburg–Landau equation are considered in the limit of large dispersion and nonlinear frequency shift. Results obtained formerly by Schöpf and Kramer are revisited and extended to the case of a defocusing nonlinearity. It is shown that a global feed...

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Bibliographic Details
Published in:	Physics letters. A Vol. 372; no. 48; pp. 7156 - 7160
Main Authors:	Kanevsky, Y., Nepomnyashchy, A.A.
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 08-12-2008
Subjects:	Complex Ginzburg–Landau equation Defocusing nonlinearity Feedback control Focusing nonlinearity Focusing nonlinearity Feedback control 47.54.-r 82.40.Bj Complex Ginzburg–Landau equation Defocusing nonlinearity 89.75.Kd
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Summary:	Periodic solutions of a subcritical cubic complex Ginzburg–Landau equation are considered in the limit of large dispersion and nonlinear frequency shift. Results obtained formerly by Schöpf and Kramer are revisited and extended to the case of a defocusing nonlinearity. It is shown that a global feedback control can extend existence and stability regions of the stationary solutions in both focusing and defocusing cases.
ISSN:	0375-9601 1873-2429
DOI:	10.1016/j.physleta.2008.10.075