On constructing periodic solutions of quasi-linear non-self-contained systems with one degree of freedom, when amplitude equations possess multiple roots |
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Authors: | A P Proskuriakov |
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Institution: | , Moscow, USSR |
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Abstract: | Construction of periodic solutions of quasilinear non-self-contained systems with one degree of freedom, was investigated in 1 and 2]. In 1] the case of simple roots of amplitude equations was considered together with the case of a double root when the solution could be expanded into a series in integral powers of μ. In 2] the case of a double root is investigated in more detail Including expansions of solutions into series in μ1/2. In the present paper, the case of arbitrary multiple roots for non-self-contained systems is reduced to the corresponding case for self-contained systems, which simplifies computations. |
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