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

Research output: Contributions to collected editions/worksChapterpeer-review


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
ISBN (Print)978-90-481-9883-2
ISBN (Electronic)978-90-481-9884-9
Publication statusPublished - 2011
Externally publishedYes

    Research areas

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