On a Maximal Number of Period Annuli

Yelena Kozmina and Felix Sadyrbaev

Abstract and Applied Analysis, 2011, vol. 2011, 1-8

Abstract:

We consider equation 𠑥 ″ + 𠑔 ( 𠑥 ) = 0 , where 𠑔 ( 𠑥 ) is a polynomial, allowing the equation to have multiple period annuli. We detect the maximal number of possible period annuli for polynomials of odd degree and show how the respective optimal polynomials can be constructed.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:393875

DOI: 10.1155/2011/393875

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