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

PHYSICA D-NONLINEAR PHENOMENA

卷:276

Article

Balasuriya, Sanjeeva¹  Padberg-Gehle, Kathrin² 

[1] Univ Adelaide, Sch Math Sci, Adelaide, SA 5005, Australia

[2] Tech Univ Dresden, Inst Comp Sci, D-01062 Dresden, Germany

关键词: Controlling invariant manifolds;    Nonautonomous flow;    Flow barriers;   

DOI  :  10.1016/j.physd.2014.03.003

来源: Elsevier

【 摘 要 】

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. (C) 2014 Elsevier B.V. All rights reserved.

【 授权许可】

Free