EXISTENCE OF FORMAL INTEGRALS OF SYMPLECTIC INTEGRATORS

Authors
LIAO XH LIU L
Citation
Xh. Liao et L. Liu, EXISTENCE OF FORMAL INTEGRALS OF SYMPLECTIC INTEGRATORS, Celestial mechanics & dynamical astronomy, 63(1), 1995, pp. 113-123
Citations number
16
Categorie Soggetti
Astronomy & Astrophysics
Journal title
Celestial mechanics & dynamical astronomy → ACNP
ISSN journal
09232958
Volume
63
Issue
1
Year of publication
1995
Pages
113 - 123
Database
ISI
SICI code
0923-2958(1995)63:1<113:EOFIOS>2.0.ZU;2-F
Abstract
A recurrent method of solving the formal integrals of symplectic integ rators is given. The special examples show that there are no long-term variations in all integrals of the Hamiltonian system in addition to the energy one when symplectic integrators are used in the numerical s tudies of the system. As an application of the formal integrals, the r elation between them and the linear stability of symplectic integrator s is discussed.