Mapping and dynamical systems

Details Mapping and dynamical systems Mapping and dynamical systems

Mar 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996cemda..65...69s&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 65, Issue 1-2, pp. 69-84

Mathematics

Dynamical Systems

3

Dynamical Systems, Mapping, Symplectic Mapping

Scientific paper

This paper reviews various mapping techniques used in dynamical astronomy. It is mostly dealing with symplectic mappings. It is shown that used mappings can be usually interpreted as symplectic integrators. It is not necessary to introduce any δ functions it is just sufficient to split Hamiltonian into integrable parts. Actually it may be shown that exact mapping with δ function in the Hamiltonian may be non-symplectic. The application to the study of asteroid belt is emphasised but the possible use of mapping in planetary evolution studies, cometary and other problems is shortly discussed.

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