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SUMMARY:On integrability of the Hirota-Kimura (bilinear) discretizations o
 f integrable quadratic vector fields - Suris\, YB (Technische Uni Mnchen)
DTSTART:20090324T163000Z
DTEND:20090324T173000Z
UID:TALK17538@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:R. Hirota and K. Kimura discovered integrable discretizations 
 of the Euler and the Lagrange tops\, given by birational maps. Their metho
 d is a specialization to the integrable context of a general discretizatio
 n scheme introduced by W. Kahan and applicable to any vector field with a 
 quadratic dependence on phase variables.\nDiscretizations of the Hirota-Ki
 mura type can be considered for numerous integrable systems of classical m
 echanics. Due to a remarkable and not well understood mechanism\, such dis
 cretizations seem to inherit the integrability for most of (if not all) al
 gebraically completely integrable systems. We will discuss in detail the H
 irota-Kimura discretization of the Clebsch system and of the so(4) Euler t
 op.
LOCATION:Seminar Room 1 Newton Institute
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