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- W2074508093 abstract "A reversible system with a small parameter μ is considered. When μ = 0 the generating system has a periodic motion, symmetric to a fixed set of the system automorphism. It is shown that this periodic motion is continued with respect to a small parameter in the Poincaré-unisolated case when certain conditions are satisfied only on the generating system. Symmetric periodic solutions are constructed both for a non-resonant and for a resonant system. In the plane unrestricted three-body problem the small parameter is chosen to be the quantity characterizing the interaction between two bodies chosen from the three. It is shown that in this problem there are solutions in which the body moves along curves close to circles. The problem of the applicability of the result to a sun-earth-moon type is discussed." @default.
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- W2074508093 date "1995-01-01" @default.
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- W2074508093 title "Non-linear oscillations of reversible systems" @default.
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- W2074508093 doi "https://doi.org/10.1016/0021-8928(95)00005-a" @default.
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