Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem

Research output: Contributions to collected editions/worksChapterpeer-review

Authors

In the last two decades, the mathematical analysis of material transport has received considerable interest in many scientific fields, in particular in astrodynamics. In this contribution we will focus on the numerical detection and approximation of transport barriers in the solar system. For this we consider and combine several techniques for the mathematical treatment of transport processes—using both continuous concepts from dynamical systems theory and discrete ideas from graph theory. For the demonstration of our results we consider the planar circular restricted three body problem with Sun and Jupiter as primaries, a simple model for describing the motion of asteroids in the solar system.
Original languageEnglish
Title of host publicationNonlinear Science and Complexity
EditorsTenreiro J. A. Machado, C.J. Albert Luo, S. Ramiro Barbosa, F. Manuel Silva, B. Lino Figueiredo
Number of pages7
Place of PublicationDordrecht
PublisherSpringer Netherlands
Publication date2011
Pages99-105
ISBN (print)978-90-481-9883-2
ISBN (electronic)978-90-481-9884-9
DOIs
Publication statusPublished - 2011
Externally publishedYes

    Research areas

  • Mathematics - Transport Barriers, Dynamical Systems, Almost invariant sets, Invariant manifolds, Expansion

Recently viewed

Publications

  1. OKBQA framework towards an open collaboration for development of natural language question-answering systems over knowledge bases
  2. Using transition management concepts for the evaluation of intersecting policy domains ('grand challenges')
  3. Mechanism of dynamic recrystallization and evolution of texture in the hot working domains of the processing map for Mg-4Al-2Ba-2Ca Alloy
  4. Exploring large vegetation databases to detect temporal trends in species occurrences
  5. Challenges in detecting proximal effects of existential threat on lie detection accuracy
  6. Contextualizing the relationship between self-commitment and performance
  7. Control oriented modeling of DCDC converters
  8. Automatic three-dimensional geometry and mesh generation of periodic representative volume elements for matrix-inclusion composites
  9. Conceptualizing protected area research in a transdisciplinary
  10. Measurement invariance in a grid-based measure of academic self-concept
  11. Active plasma resonance spectroscopy: Eigenfunction solutions in spherical geometry
  12. Study of Single Filament Dielectric Barrier Discharge in Argon
  13. Analytics and Intuition in the Process of Selecting Talent
  14. Load, Release and Fire
  15. Identifying determinants of teachers' judgment (in)accuracy regarding students' school-related motivations using a Bayesian cross-classified multi-level model
  16. Collaborative business in supply chains - a system dynamics approach
  17. Land use affects dung beetle communities and their ecosystem service in forests and grasslands
  18. How problem-based or direct instructional case-based learning environments influence pre-service teachers’ cognitive load, motivation and emotions
  19. Students’ perceptions of and conclusions from their first assessment experience at university
  20. What do people do when they use the internet?
  21. Co-production of nature's contributions to people
  22. Sense of Place in Spatial Planning
  23. Supercomputing
  24. Logistische Lageranalyse und Methodenvalidierung
  25. Transformative Impulse
  26. A comparison of the strength of biodiversity effects across multiple functions
  27. Article 21 Formal Validity
  28. Nucleation mechanism of Mg17Al12-precipitates in binary Mg-7 wt.% Al alloy
  29. The dispositive factor in a system of inventory-controlled production