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• W1964312819 endingPage "L265" @default.
• W1964312819 startingPage "L257" @default.
• W1964312819 abstract "A computational procedure that allows the detection of a new type of high-dimensional chaotic saddle in Hamiltonian systems with three degrees of freedom is presented. The chaotic saddle is associated with a so-called normally hyperbolic invariant manifold (NHIM). The procedure allows to compute appropriate homoclinic orbits to the NHIM from which we can infer the existence a chaotic saddle. NHIMs control the phase space transport across an equilibrium point of saddle-centre-...-centre stability type, which is a fundamental mechanism for chemical reactions, capture and escape, scattering, and, more generally, ``transformation'' in many different areas of physics. Consequently, the presented methods and results are of broad interest. The procedure is illustrated for the spatial Hill's problem which is a well known model in celestial mechanics and which gained much interest e.g. in the study of the formation of binaries in the Kuiper belt." @default.
• W1964312819 created "2016-06-24" @default.
• W1964312819 creator A5052531825 @default.
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• W1964312819 date "2004-06-03" @default.
• W1964312819 modified "2023-09-23" @default.
• W1964312819 title "A computational procedure to detect a new type of high-dimensional chaotic saddle and its application to the 3D Hill's problem" @default.
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• W1964312819 doi "https://doi.org/10.1088/0305-4470/37/24/l04" @default.
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