O ct 2 01 0 Energy methods in the stability problem for the so ( 4 ) free rigid body

Abstract

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… (More)

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