Abstract
A class of two-degree-of-freedom systems in resonance with an external, parametric excitation is investigated, the existence of the periodic solutions locked to Ω is proved by the use of the method of multiple scales. This systems can be transformed into the systems of Wiggins under some conditions. A calculating formula which determines the existence of homoclinic orbits of the systems is given.
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Communicated by LIU Zeng-rong
Foundation item: the National Natural Science Foundation of China (19872044)
Biography: WANG Mao-nan (1965-)
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Mao-nan, W., Zhen-yuan, X. On the homoclinic orbits in a class of two-degree-of-freedom systems under the resonance conditions. Appl Math Mech 22, 340–352 (2001). https://doi.org/10.1007/BF02437973
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DOI: https://doi.org/10.1007/BF02437973