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UID:30544c6f8dac827681e76761f9fdfd8a
DTSTAMP:20260610T195741Z
SUMMARY:Dynamical Systems Seminar – Michael E Henderson (retired)
DESCRIPTION:The image of a manifold under a map: Invariant manifolds of map
 s\nAbstract: The image of a smooth manifold under a map is the prototypica
 l invariant manifold. The stable and unstable manifolds of a hyperbolic fi
 xed point can be posed as the image of a small part of the stable or unsta
 ble eigenspace of the fixed point. Single trajectories (the image of a poi
 nt) can be computed stably with parallel (or multiple) shooting\, and the 
 same formulation can be used with a manifold instead of a single point. Fo
 r a fixed number of iterates we get a (nonlinear) system whose solution is
  a manifold.\nIn this talk I will motivate this formulation and apply it t
 o find a smooth\, closed attractor as the image of a nearby manifold with 
 the same topology\, and show how higher dimensional unstable manifolds of 
 hyperbolic fixed points can be computed.\n
URL:https://www.imperial.ac.uk/events/210707/dynamical-systems-seminar-mich
 ael-e-henderson-retired/
DTSTART;TZID=Europe/London:20260617T140000
DTEND;TZID=Europe/London:20260617T150000
LOCATION:408\, Huxley Building\, South Kensington Campus\, Imperial College
  London\, London\, SW7 2AZ\, United Kingdom
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