Isolated generating periodic solutions to the Beletsky equation

Details Isolated generating periodic solutions to the Beletsky equation Isolated generating periodic solutions to the Beletsky equation

Feb 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007cosre..45...78v&link_type=abstract

Cosmic Research, Volume 45, Issue 1, pp.78-84

Computer Science

45.50.Jf

Scientific paper

We study degeneracies in families of periodic solutions to the Beletsky equation which correspond to intersections of three manifolds of these solutions: the symmetric, the asymmetric, and the manifold belonging to one of the integrable cases, i.e., e = 0 or μ = 0. We obtain equations for these isolated solutions, which allow us to compute them with an arbitrary precision. It is shown that additional degeneracies take place at some of these solutions. The method we use is applicable to a wide class of nonlinear ordinary differential equations (ODEs) depending on parameters.

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