Existence of Formal Integrals of Symplectic Integrators

Details Existence of Formal Integrals of Symplectic Integrators Existence of Formal Integrals of Symplectic Integrators

Mar 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995cemda..63..113l&link_type=abstract

Celestial Mechanics & Dynamical Astronomy, Volume 63, Issue 1, pp.113-123

Astronomy and Astrophysics

Astronomy

4

Hamiltonian System, Symplectic Integrator, Formal Integral, Linear Stability

Scientific paper

A recurrent method of solving the formal integrals of symplectic integrators 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 studies of the system. As an application of the formal integrals, the relation between them and the linear stability of symplectic integrators is discussed.

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