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Nonautonomous control of stable and unstable manifolds in two-dimensional flows

Research output: Journal contributions › Journal articles › Research › peer-review

Standard

Nonautonomous control of stable and unstable manifolds in two-dimensional flows. / Balasuriya, Sanjeeva; Padberg-Gehle, Kathrin.
In: Physica D: Nonlinear Phenomena, Vol. 276, 15.05.2014, p. 48-60.

Research output: Journal contributions › Journal articles › Research › peer-review

Harvard

Balasuriya, S & Padberg-Gehle, K 2014, 'Nonautonomous control of stable and unstable manifolds in two-dimensional flows', Physica D: Nonlinear Phenomena, vol. 276, pp. 48-60. https://doi.org/10.1016/j.physd.2014.03.003

APA

Balasuriya, S., & Padberg-Gehle, K. (2014). Nonautonomous control of stable and unstable manifolds in two-dimensional flows. Physica D: Nonlinear Phenomena, 276, 48-60. https://doi.org/10.1016/j.physd.2014.03.003

Vancouver

Balasuriya S, Padberg-Gehle K. Nonautonomous control of stable and unstable manifolds in two-dimensional flows. Physica D: Nonlinear Phenomena. 2014 May 15;276:48-60. doi: 10.1016/j.physd.2014.03.003

Bibtex

@article{75083b971b71483a94896acbfff3c1b9,
title = "Nonautonomous control of stable and unstable manifolds in two-dimensional flows",
abstract = "We outline a method for controlling the location of stable and unstable manifolds in the following sense. From a known location of the stable and unstable manifolds in a steady two-dimensional flow, the primary segments of the manifolds are to be moved to a user-specified time-varying location which is near the steady location. We determine the nonautonomous perturbation to the vector field required to achieve this control, and give a theoretical bound for the error in the manifolds resulting from applying this control. The efficacy of the control strategy is illustrated via a numerical example.",
keywords = "Controlling invariant manifolds, Flow barriers, Nonautonomous flow, Mathematics",
author = "Sanjeeva Balasuriya and Kathrin Padberg-Gehle",
year = "2014",
month = may,
day = "15",
doi = "10.1016/j.physd.2014.03.003",
language = "English",
volume = "276",
pages = "48--60",
journal = "Physica D: Nonlinear Phenomena",
issn = "0167-2789",
publisher = "Elsevier B.V.",

}

RIS

TY - JOUR

T1 - Nonautonomous control of stable and unstable manifolds in two-dimensional flows

AU - Balasuriya, Sanjeeva

AU - Padberg-Gehle, Kathrin

PY - 2014/5/15

Y1 - 2014/5/15

N2 - We outline a method for controlling the location of stable and unstable manifolds in the following sense. From a known location of the stable and unstable manifolds in a steady two-dimensional flow, the primary segments of the manifolds are to be moved to a user-specified time-varying location which is near the steady location. We determine the nonautonomous perturbation to the vector field required to achieve this control, and give a theoretical bound for the error in the manifolds resulting from applying this control. The efficacy of the control strategy is illustrated via a numerical example.

AB - We outline a method for controlling the location of stable and unstable manifolds in the following sense. From a known location of the stable and unstable manifolds in a steady two-dimensional flow, the primary segments of the manifolds are to be moved to a user-specified time-varying location which is near the steady location. We determine the nonautonomous perturbation to the vector field required to achieve this control, and give a theoretical bound for the error in the manifolds resulting from applying this control. The efficacy of the control strategy is illustrated via a numerical example.

KW - Controlling invariant manifolds

KW - Flow barriers

KW - Nonautonomous flow

KW - Mathematics

UR - http://www.scopus.com/inward/record.url?scp=84897510769&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/9218053d-50d0-39b1-8aa3-fb01f65d08e0/

U2 - 10.1016/j.physd.2014.03.003

DO - 10.1016/j.physd.2014.03.003

M3 - Journal articles

AN - SCOPUS:84897510769

VL - 276

SP - 48

EP - 60

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

SN - 0167-2789

ER -

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