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Tuesday 24 March 2009, 16:30-17:30
On integrability of the Hirota-Kimura (bilinear) discretizations of integrable quadratic vector fields
- đ¤ Speaker: Suris, YB (Technische Uni Mnchen)
- đ Date & Time: Tuesday 24 March 2009, 16:30 - 17:30
- đ Venue: Seminar Room 1 Newton Institute
Abstract
R. Hirota and K. Kimura discovered integrable discretizations of the Euler and the Lagrange tops, given by birational maps. Their method is a specialization to the integrable context of a general discretization scheme introduced by W. Kahan and applicable to any vector field with a quadratic dependence on phase variables. Discretizations of the Hirota-Kimura type can be considered for numerous integrable systems of classical mechanics. Due to a remarkable and not well understood mechanism, such discretizations seem to inherit the integrability for most of (if not all) algebraically completely integrable systems. We will discuss in detail the Hirota-Kimura discretization of the Clebsch system and of the so(4) Euler top.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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