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

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 -