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Periodic orbits in the case of a zero eigenvalue - MaRDI portal

Periodic orbits in the case of a zero eigenvalue (Q997974)

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Periodic orbits in the case of a zero eigenvalue
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    Periodic orbits in the case of a zero eigenvalue (English)
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    10 August 2007
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    The paper deals with a special case for investigating periodic orbits of a dynamic system in the case of zero eigenvalue of the linearized system. It could be considered as a supplement of some results of Moser (1976) and Weinstein (1973) related to this problem. Certain conditions for the existence of periodic solutions are formulated and proved. Two examples are given.
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    periodic solutions
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