Abstract
A systematic method is presented to construct a mapping model for a near-conservative system, based on that of Hadjidemetriou for a Hamiltonian system [1]. The mapping we constructed preserves the basic features of the actual system. We apply this method to the forced oscillating system and to the 3 : 1 resonant grain motion in the presence of Poynting-Robertson drag.
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Supported by the National Natural Science Foundation of China.
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Zhou, JL., Fu, YN. & Sun, YS. Mapping models for near-conservative systems with applications. Celestial Mech Dyn Astr 60, 471–487 (1994). https://doi.org/10.1007/BF00692029
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DOI: https://doi.org/10.1007/BF00692029