Structures in the phase space of a four dimensional symplectic map |
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| Authors: | Ch Skokos G Contopoulos C Polymilis |
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| Institution: | (1) Department of Astronomy, University of Athens, Panepistimiopolis, GR-15784 Athens, Greece |
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| Abstract: | 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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| Keywords: | 4-D symplectic maps non periodic orbits phase space structures resonances |
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