Publication

Integrable Systems of Neumann Type

Tudor Ratiu, Alina Dobrogowska
2015
Journal Articles

Abstract

We construct families of integrable systems that interpolate between -dimensional harmonic oscillators and Neumann systems. This is achieved by studying a family of integrable systems generated by the Casimir functions of the Lie algebra of real skew-symmetric matrices and a certain deformation thereof. Involution is proved directly, since the standard involution theorems do not apply to these families. It is also shown that the integrals are independent.

Official source

https://infoscience.epfl.ch/entities/publication/edeffd47-2c4f-4b33-aef3-0c1c117e34c9

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Integrable Systems of Neumann Type

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