Robustness of coherent sets computations

Research output: Contributions to collected editions/worksPublished abstract in conference proceedingsResearchpeer-review


The notion of coherence in time-dependent dynamical systems refers to mobile sets that do not freely mix with thesurrounding regions in phase space. Coherent sets can be identified using set-oriented numerical methods involving transfer operators.Typically, such approach relies on the integration of a large number of particle trajectories computed from test points initialized inthe elements of a fine partition of phase space. This can be prohibitively expensive in complex flows involving turbulence. Here,we systematically study the robustness of such computations in an example system. We demonstrate that the transfer operator basedframework still gives reliable results even when both the number of partition elements and the number of test points are reducedsignificantly.
Original languageEnglish
Title of host publicationProceedings of the 9th European Nonlinear Dynamics Conference : ENOC 2017, 25-30 June 2017, Budapest, Hungary
EditorsGábor Stépán, Gábor Csernák
Number of pages2
Place of PublicationBudapest
PublisherCongressline Ltd.
Publication date2017
Article number493
ISBN (Print)978-963-12-9168-1
Publication statusPublished - 2017
EventEuropean Nonlinear Dynamics Conference - ENOC 2017 - Budapest, Hungary
Duration: 25.06.201730.06.2017
Conference number: 9