J. Grabowski, G\. Marmo, P\. W\. Michor
Construction of completely integrable systems by Poisson mappings
Preprint series: ESI Preprint 754

MSC:

58F07 Completely integrable systems (including systems with an infinite number of degrees of freedom)

Abstract: Pulling back sets of functions in involution by Poisson
mappings and adding Casimir functions during the process allows
to construct completely integrable systems.
Some examples are investigated in detail.
Keywords: Completely integrable systems, Poisson mappings
Notes: ESI Preprint 754
math.SG/9909064