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Publication

KIAM Preprint № 51, Moscow, 2002
Authors: Varin V. P.
Degenerate Bifurcation of Periodic Solutions to an ODE Caused by Symmetry.
Abstract:
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
Source text:
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