Generating Function Methods for Coefficient-Varying Generalized Hamiltonian Systems

Xueyang Li, Aiguo Xiao, Dongling Wang
2014 Advances in Applied Mathematics and Mechanics  
AbstractThe generating function methods have been applied successfully to generalized Hamiltonian systems with constant or invertible Poisson-structure matrices. In this paper, we extend these results and present the generating function methods preserving the Poisson structures for generalized Hamiltonian systems with general variable Poisson-structure matrices. In particular, some obtained Poisson schemes are applied efficiently to some dynamical systems which can be written into generalized
more » ... into generalized Hamiltonian systems (such as generalized Lotka-Volterra systems, Robbins equations and so on).
doi:10.4208/aamm.12-m12112 fatcat:cfgqp2s6hzbtxplee7h67uv3fe