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

Researchers

  1. Heinz-Roland Möhle

Publications

  1. Assessing mire-specific biodiversity with an indicator based approach
  2. Experimentally validated multi-step simulation strategy to predict the fatigue crack propagation rate in residual stress fields after laser shock peening
  3. Reframing the technosphere
  4. Variational pragmatics in the foreign language classroom
  5. Development and Validation of the Short Form of the Later Life Workplace Index (LLWI-SF)
  6. Indicators for relational values of nature’s contributions to good quality of life
  7. Mapping water ecosystem services: Evaluating InVEST model predictions in data scarce regions
  8. A transdisciplinary evaluation framework for the assessment of integration in boundary-crossing collaborations in teacher education
  9. Introduction
  10. Responsible Research is also concerned with generalizability
  11. Environmental heterogeneity modulates the effect of plant diversity on the spatial variability of grassland biomass
  12. The micro-processes during repatriate knowledge transfer
  13. Amplifying actions for food system transformation: insights from the Stockholm region
  14. Resettlement as a temporal border
  15. Pathways to Implementation: Evidence on How Participation in Environmental Governance Impacts on Environmental Outcomes
  16. Overview of a Proposed Ecological Risk Assessment Process for Honey bees (Apis mellifera) and Non‐Apis Bees
  17. Velocity-free friction compensation for motion systems with actuator constraint
  18. The self-sabotage of conservation
  19. Effects of samarium content on microstructure and mechanical properties of Mg–0.5Zn–0.5Zr alloy
  20. To help or not to help an outgroup member
  21. Team Ambidexterity and its Prerequisites: An Exploratory Study of an IT Service Management Team
  22. Carbon fluxes within tree-crop-grass agroforestry system
  23. Bats in a Farming Landscape Benefit from Linear Remnants and Unimproved Pastures
  24. User Participation in the Quality Assurance of Requirements Specifications
  25. CSR and tax avoidance: A review of empirical research
  26. From visual projections to visionary locations
  27. Earnings less risk-free interest charge (ERIC) and stock returns: ERIC’s relative and incremental information content in a European sample
  28. High with low
  29. Interpersonal Physiological Synchrony Predicts Group Cohesion
  30. Inklusion – aber wie?
  31. An interpretive perspective on co-production in supporting refugee families’ access to childcare in Germany
  32. Interactive priming effect of labile carbon and crop residues on SOM depends on residue decomposition stage
  33. Alternating forms of lock-in: Publishing digital news in the path of a free content culture.
  34. Editorial overview
  35. What is the ‘problem’ of gender inequality represented to be in the Swedish forest sector?
  36. Über Franz Hessel
  37. Rapid upwards spread of non-native plants in mountains across continents
  38. Analysis of Kinetic Dynamics of the Multipole Resonance Probe
  39. Das Reflexivitätsproblem und die Kategorienlehre
  40. Transculturality in Top Model
  41. The effects of hybrid order processing strategies on economic and logistic objectives