Optimal Symplectic Approximation of Hamiltonian Flows
AbstractLong term simulations of Hamiltonian dynamical systems benefit from
enforcing the symplectic symmetry. One of the several available methods to
perform this symplectification is provided by the recently developed theory
of extended generating functions. The theory offers an infinite supply of
generator types that can be used for symplectification. Using Hofer's
metric, a condition for optimal symplectification is given. In the weakly
nonlinear case, the condition provides a generator type that, based on the
limited information available on the system, in general gives optimal
B. Erdelyi, M. Berz, Physical Review Letters 87(11) (2001) 114302
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