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DynamIC Seminars
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Name
Title
Date
Time
Room
Michael E Henderson (retired)
The image of a manifold under a map: Invariant manifolds of maps
Abstract:
The image of a smooth manifold under a map is the prototypical invariant manifold. The stable and unstable manifolds of a hyperbolic fixed point can be posed as the image of a small part of the stable or unstable eigenspace of the fixed point. Single trajectories (the image of a point) can be computed stably with parallel (or multiple) shooting, and the same formulation can be used with a manifold instead of a single point. For a fixed number of iterates we get a (nonlinear) system whose solution is a manifold. In this talk I will motivate this formulation and apply it to 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.
Wednesday, 17 June 2026
14:00
HXLY 408
Demi Allen (University of Exeter)
TBD
Abstract:
TBD
Tuesday, 23 June 2026
TBD
TBD
DynamIC Workshops and Mini-Courses
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Title
Date
Venue
One-day workshop on Random Dynamical Systems and Ergodic Theory
Tuesday, 9 September 2025
HXLY 340, Imperial College London
CHAOS (Homoclinic Bifurcations, Strange Attractors, Arnold Diffusion, Fermi Acceleration, Solitons)
Sunday, 24 September 2023 – Friday, 29 September 2023
Nesin Math Village, Izmir, Turkey
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