Nonautonomous control of stable and unstable manifolds in two-dimensional flows
Research output: Journal contributions › Journal articles › Research › peer-review
Authors
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.
Original language | English |
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Journal | Physica D: Nonlinear Phenomena |
Volume | 276 |
Pages (from-to) | 48-60 |
Number of pages | 13 |
ISSN | 0167-2789 |
DOIs | |
Publication status | Published - 15.05.2014 |
Externally published | Yes |
- Controlling invariant manifolds, Flow barriers, Nonautonomous flow
- Mathematics