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DTSTAMP:20260501T143236Z
SUMMARY:Dynamical Systems Seminar – Federico Zadra (Antwerp University)
DESCRIPTION:Contact Hamiltonian Dynamics and Structure-Preserving Numerical
  Methods\nAbstract: Contact geometry naturally arises in a wide range of 
 contexts\, including the study of boundaries of symplectic manifolds\, iso
 energetic hypersurfaces in Hamiltonian mechanics\, as well as in control t
 heory\, Riemannian geometry\, and the modeling of dissipative systems. A k
 ey feature of contact manifolds is that any one-parameter group of transfo
 rmations preserving the underlying geometric structure is necessarily Hami
 ltonian\, in the sense that it can be generated by a smooth function descr
 ibing the dynamics. This correspondence provides a powerful bridge between
  geometry and dynamics\, and forms the basis for the construction of struc
 ture-preserving numerical methods. In this talk\, after reviewing the main
  features of contact Hamiltonian systems\, we present geometric numerical 
 schemes for approximating their flows. In particular\, we discuss splittin
 g methods based on the decomposition of the Hamiltonian\, as well as varia
 tional integrators derived from a Lagrangian formulation. Furthermore\, we
  show how these approaches can be extended to the numerical integration of
  first-order partial differential equations arising from the underlying ge
 ometric structure.
URL:https://www.imperial.ac.uk/events/207942/dynamical-systems-seminar-fede
 rico-zadra-antwerp-university/
DTSTART;TZID=Europe/London:20260330T100000
DTEND;TZID=Europe/London:20260330T110000
LOCATION:408\, Huxley Building\, South Kensington Campus\, Imperial College
  London\, London\, SW7 2AZ\, United Kingdom
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