Structures in the phase space of a four dimensional symplectic map

Details Structures in the phase space of a four dimensional symplectic map Structures in the phase space of a four dimensional symplectic map

Sep 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996cemda..65..223s&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 65, Issue 3, pp.223-251

Astronomy and Astrophysics

Astronomy

4-D Symplectic Maps, Non Periodic Orbits, Phase Space Structures, Resonances

Scientific paper

We numerically investigate the projections of non periodic orbits in a 4-dimensional (4-D) symplectic map composed of two coupled 2-dimensional (2-D) maps. We describe in detail the structures that are produced in different planes of projection and we find how the morphology of the 4-D orbits is influenced by the features of the 2-D maps as the coupling parameter increases. We give an empirical law that describes this influence.

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