Construction of completely integrable systems by Poisson mappings
arXiv:math/9909064 · doi:10.1142/S0217732399002169
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.
AmsTeX, 9 pages
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Cited by in corpus (11)
- (Super)integrability from coalgebra symmetry: formalism and applications
- Three Dimensional Integrable Mappings
- Comodule algebras and integrable systems
- Real Hamiltonian forms of Hamiltonian systems
- Integrable deformations of Rössler and Lorenz systems from Poisson-Lie groups
- Classical Dynamical Systems from q-algebras:"cluster" variables and explicit solutions
- N-dimensional integrability from two-photon coalgebra symmetry
- Quantum algebras as quantizations of dual Poisson-Lie groups
- Poisson-Lie groups, bi-Hamiltonian systems and integrable deformations
- Classification of real three-dimensional Poisson-Lie groups
- Non-coboundary Poisson-Lie structures on the book group