منابع مشابه
Anomaly in Symplectic Integrator
Effective Liouville operators of the firstand the second-order symplectic integrators are obtained for the one-dimensional harmonic-oscillator system. The operators are defined only when the time step is less than two. Absolute values of the coordinate and the momentum monotonically increase for large time steps. PACS numbers: 05.10.-a, 02.10.Hh
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We construct a symplectic, globally defined, minimal-variable, equivariant integrator on products of 2-spheres. Examples of corresponding Hamiltonian systems, called spin systems, include the reduced free rigid body, the motion of point vortices on a sphere, and the classical Heisenberg spin chain, a spatial discretisation of the Landau–Lifshitz equation. The existence of such an integrator is ...
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ژورنال
عنوان ژورنال: Physics Letters A
سال: 2007
ISSN: 0375-9601
DOI: 10.1016/j.physleta.2007.06.037