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

Research output: Journal contributionsJournal articlesResearchpeer-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 languageEnglish
JournalPhysica D: Nonlinear Phenomena
Volume276
Pages (from-to)48-60
Number of pages13
ISSN0167-2789
DOIs
Publication statusPublished - 15.05.2014
Externally publishedYes

    Research areas

  • Controlling invariant manifolds, Flow barriers, Nonautonomous flow
  • Mathematics

Recently viewed

Publications

  1. Study of fuzzy controllers performance
  2. A Robust Approximated Derivative Action of a PID Regulator to be Applied in a Permanent Magnet Synchronous Motor Control
  3. Consensus statement on defining and measuring negative effects of Internet interventions
  4. Formalised and Non-Formalised Methods in Resource Management-Knowledge and Social Learning in Participatory Processes
  5. Time Use Research and Time Use Data
  6. Landscape fluidity - a unifying perspective for understanding and adapting to global change
  7. Error handling in office work with computers
  8. Elevated Temperature and Varied Load Response of AS41 at Bolted Joint
  9. Pragmatics broadly viewed
  10. Contrasting requests in Inner Circle Englishes
  11. From teacher-centered instruction to peer tutoring in the heterogeneous international classroom
  12. Testing for a break in the persistence in yield spreads of EMU government bonds
  13. Exploring the uncanny valley effect in affective social robotics
  14. Cyclooxygenase-2-expression in the outer root sheath of anagen but not telogen hair follicles of the mouse skin
  15. Excellence in Teaching and Learning
  16. Explicit references in chat-based CSCL
  17. Models for integrated production-inventory systems
  18. Lifeworld and System
  19. Modeling of microstructural pattern formation in crystal plasticity
  20. Development of tools to prevent food waste
  21. Conceptualizing sustainable consumption
  22. Modeling Interactions and Dependencies in Production Planning and Control
  23. EVALUATION FORM FOR TRAINEES AS A HUMAN-RESOURCE DATA INSTRUMENT - SUGGESTIONS FOR ITS CONSTRUCTION AND RESULTS OF AN EMPIRICAL-STUDY
  24. Responsible Research is also concerned with generalizability
  25. Local Responses to Global Integration in a Transnational Professional Service Firm
  26. NEW CONCEPTS IN INNOVATION OUTPUT MEASUREMENT - KLEINKNECHT,A, BAIN,D
  27. Going beyond efficiency: including altruistic motives in behavioral models for sustainability transitions to address sufficiency.
  28. Strategy execution in higher education
  29. Green your community click by click
  30. Habitat suitability models in conservation planning – a short introduction
  31. A qualitative approach to evidence-based entrepreneurship: Theoretical considerations and an example involving business clusters
  32. Anthropogenic factors overrule local abiotic variables in determining non-native plant invasions in mountains
  33. A flexible global warming index for use in an integrated approach to climate change assessment
  34. FragSAD: A database of diversity and species abundance distributions from habitat fragments
  35. Coauthoring collaborative strategy when voices are many and authority is ambiguous