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

Publikation: Beiträge in ZeitschriftenZeitschriftenaufsätzeForschungbegutachtet

Standard

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

Publikation: Beiträge in ZeitschriftenZeitschriftenaufsätzeForschungbegutachtet

Harvard

APA

Vancouver

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 -

DOI

Zuletzt angesehen

Publikationen

  1. Effect of calcium addition on the hot working behavior of as-cast AZ31 magnesium alloy
  2. Erfassung von Schülerselbsteinschätzungen zum schulbezogenen Sozial- und Lernverhalten
  3. Set-Oriented and Finite-Element Study of Coherent Behavior in Rayleigh-Bénard Convection
  4. A Trajectory Generation Algorithm for Optimal Consumption in Electromagnetic Actuators
  5. Exports and Firm Characteristics in Germany: A Survey of Empirical Studies (1991 to 2011)
  6. The effect of complacency potential on human operators’ monitoring behavior in aviation
  7. Freie Berufe – Hat die Ungleichheit und Polarisierung von Einkommen und Zeit zugenommen?
  8. Cost-Effectiveness and Cost-Benefit Analysis of Maintenance Measures for Open Landscapes
  9. Modeling and Performance Analysis of a Node in Fault Tolerant Wireless Sensor Networks
  10. Development of a Didactic Graphical Simulation Interface on MATLAB for Systems Control
  11. Bifurcation loads of beams of glued-laminated timber with intermediate lateral supports
  12. Hot tearing behaviour of binary Mg-1Al alloy using a contraction force measuring method
  13. Microstructural investigations of MG-AL alloys containing small amount of SiC nucleants
  14. Impact of land cover homogenization on the Corncrake (Crex crex) in traditional farmland
  15. Early Edema Detection Based on the Examination of Multidimensional Ultra-Wide band Data
  16. Investigation on the Microstructure and Mechanical Properties of Mg–Gd–Nd Ternary Alloys
  17. An Orthogonal Wavelet Denoising Algorithm for Surface Images of Atomic Force Microscopy
  18. Multiphoton ionization of magnesium and calcium atoms by short and intense laser pulses
  19. Effects of habitat heterogeneity on bird communities in forests of northeastern Germany
  20. Accelerated increase in plant species richness on mountain summits is linked to warming
  21. Von der Schulinspektion zur Unterrichtsentwicklung: Welche Rolle spielt die Schulleitung?