Construction of completely integrable systems by Poisson mappings

1999/09/13 by Janusz Grabowski, J. GRABOWSKI, J. Grabowski +5 · 1 citation
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #math.SG #msc:58F07

paper · pdf · doi:10.1142/s0217732399002169

published as Modern Physics Letters A 14, 30 (1999) 2109-2118 · AmsTeX, 9 pages

arxiv created 1999/09/13 · arxiv updated 2009/11/30

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.

Cited by

• Comodule algebras and integrable systems

Related

• Poisson brackets with prescribed family of functions in involution
• Loop coproducts
• Homogeneous bi-Hamiltonian structures and integrable contact systems
• New integrable systems and a curious realisation of SO(N)
• Poisson integrators