Volume no :48, Issue no: 1, November (2017)

Journal of Mathematical Sciences: Advances and Applications

ON COMPLETELY INTEGRABLE HAMILTONIAN SYSTEMS PAIRS

Author's: Hamidou Dathe and Yatma Mbodji
Pages: [1] - [25]
Received Date: October 17, 2017
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100121876

Abstract

On a differential manifold equipped to symplectic pair we define the notion of completely integrable Hamiltonian system pair then study the problem of this symplectic linearization in a neighbourhood of compact orbit pair.

Keywords

symplectic pairs, Poisson, Hamiltonian system, orbit pair, regular orbit pair, singular orbit pair.