O ct 2 01 0 Energy methods in the stability problem for the so ( 4 ) free rigid body
نویسنده
چکیده
We prove that the study of stability using energy methods strongly depends on the conservation laws considered. We exemplify this by studying stability using Arnold’s method in the case of so(4) free rigid body. Using the classical Mishchenko’s constants of motion we do not obtain satisfactory stability results. We find new constants of motion generated by Mishchenko’s first integrals that give better results about the stability of equilibria. M.S.C. 2000: 34D20, 70E15, 70E17, 70E40, 70E50.
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تاریخ انتشار 2010