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.
| Original language | English |
|---|---|
| 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 |
Research areas and keywords
- Controlling invariant manifolds
- Flow barriers
- Nonautonomous flow
- Mathematics
ASJC Scopus Subject Areas
- Statistical and Nonlinear Physics
- Applied Mathematics
- Condensed Matter Physics
- Mathematical Physics
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