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Nonlinear oscillations of reversible systems - MaRDI portal

Nonlinear oscillations of reversible systems (Q1359918)

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scientific article; zbMATH DE number 1032255
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Nonlinear oscillations of reversible systems
scientific article; zbMATH DE number 1032255

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    Nonlinear oscillations of reversible systems (English)
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    29 March 1998
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    A reversible autonomous system is considered which admits a periodic solution and is perturbed by a periodic perturbation of the same period. Conditions are given under which the perturbed system has a family of superharmonic solutions. The results are applied to the planar three body problem (Sun, Earth, Moon).
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    periodic solution
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    superharmonic solutions
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    planar three body problem
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