On the Computation of Periodic Orbits and Invariant Surfaces of 4d-symplectic Mappings
نویسنده
چکیده
An efficient numerical method is applied to a 4-D symplectic map of physical interest. Sequences of periodic orbits of very high period are obtained, whose rotation numbers approach two rationally independent ratios. Thus we are able to investigate the connection between the arrangement and stability of these orbits and the "morphology" of nearby invariant surfaces "surrounding" large regions of regular motion in 4-D space.
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تاریخ انتشار 2013