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PRODID:OpenCms 21.0.27
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DTSTAMP:20230322T201611
UID:01be112b-c8e6-11ed-a708-000e0c3db68b
SUMMARY:A 4-dimensional horseshoe
DESCRIPTION:For Hamiltonian systems with 3 degrees of freedom the Poincaré map has a 4-dimensional domain. The most important invariant subsets in this map are 2-dimensional normally hyperbolic invariant surfaces (NHIMs). In the phase space they sit over the index-1 saddle points of the effective potential. The stable and unstable manifolds of the NHIMs build up a homoclinic/heteroclinic tangle in the map. It is the 4-dimensional generalization of the well known horseshoes in 2-dimensional Poincaré maps.\nAs an example of demonstration we study the motion of a test particle in the effective potential of a rotating barred galaxy. In this example we encounter surprising connections between the phase space structures of the model and observable structures in the galaxies.
DTSTART;TZID=Europe/Berlin:20230627T131500
LOCATION:Universität Stuttgart, Raum 4.331 (NWZ II), Pfaffenwaldring 57, Stuttgart-Vaihingen , , , ,
URL;VALUE=URI:https://www.itp1.uni-stuttgart.de/institute/news/events/A-4-dimensional-horseshoe/
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