Periodic solutions of the perturbed symmetric Euler top

Adriana Buică, Isaac A. García


We study the problem of persistence of $T$-periodic solutions of
the celebrated symmetric Euler top when subjected to a small
$T$-periodic stimulus. All solutions of the unperturbed system are
periodic (of different periods, including continua of equilibria).
In the case that the perturbation depends also on the three
components of the angular momentum (the unknowns of the system) we
provide bifurcation functions whose simple zeros correspond to
$T$-periodic solutions of the perturbed system.


Euler top; periodic perturbation; periodic solutions; bifurcation function

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