N. Reshetikhin, “Degenerately integrable systems”, Zap. Nauchn. Sem. POMI, 2015, Volume 433,Pages <nobr>224

This article is cited in 23 papers

Degenerately integrable systems

N. Reshetikhin^abc

^a ITMO University, Kronverkskii ave. 49, Saint Petersburg 197101, Russia
^b Department of Mathematics, University of California, Berkeley, CA 94720, USA
^c KdV Institute for Mathematics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, The Netherlands

Abstract: This is a short survey of degenerate integrability is Hamiltonian mechanics. The first section contains a short description of degenerately integrable systems. It is followed by a number of examples which include spin Calogero model, Casimir models, integrable models on symplectic leaves of Poisson Lie groups and some others. Bibliography: 27 titles.

Key words and phrases: integrable systems.

UDC: 517.9

Received: 13.04.2015

Language: English