Document Type
Article
Publication Date
6-1993
Abstract
Difference equations for Hamiltonian systems are derived from a discrete variational principle. The difference equations completely determine piecewise-linear, continuous trajectories which exactly conserve the Hamiltonian function at the midpoints of each linear segment. A generating function exists for transformations between the vertices of the trajectories. Existence and uniqueness results are present as well as simulation results for a simple pendulum and an inverse square law system.
Recommended Citation
Shibberu, Yosi, "Time-Discretization of Hamiltonian Dynamical Systems" (1993). Mathematical Sciences Technical Reports (MSTR). 81.
https://scholar.rose-hulman.edu/math_mstr/81
Included in
Mathematics Commons, Numerical Analysis and Computation Commons, Partial Differential Equations Commons
Comments
MSTR 93-05