@Article{AAMM-6-1,
author = {Xueyang, Li and Xiao, Aiguo and Wang, Dongling},
title = {Generating Function Methods for Coefficient-Varying Generalized Hamiltonian Systems},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2014},
volume = {6},
number = {1},
pages = {87--106},
abstract = {<p style="text-align: justify;">The 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 Hamiltonian systems (such as
generalized Lotka-Volterra systems, Robbins equations and so on).</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.12-m12112},
url = {https://global-sci.com/article/73430/generating-function-methods-for-coefficient-varying-generalized-hamiltonian-systems}
}