Volume 6, Issue 1
Generating Function Methods for Coefficient-Varying Generalized Hamiltonian Systems

Xueyang Li ,  Aiguo Xiao and Dongling Wang

10.4208/aamm.12-m12112

Adv. Appl. Math. Mech., 6 (2014), pp. 87-106.

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  • Abstract

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).

  • History

Published online: 2014-06

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