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KIAM Preprint № 51, Moscow, 2002
Authors: Varin V. P.
Degenerate Bifurcation of Periodic Solutions to an ODE Caused by Symmetry.
We consider the equation of forced oscillations of mathematical pendulum with an external sinusoidal force. The equation has a number of symmetries, one of which is linked to a degeneracy in families of its periodic solutions which has an abnormally high codimension. The use of variational equations of higher order allows giving a strict proof of existence of such degeneracy as well as to obtain simple computational formulas, which are realized as computer algebra procedures.
Publication language: russian
Research direction:
Mathematical problems and theory of numerical methods
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