Monday, March 5, 2012

1010.0295 (Petre Birtea et al.)

Energy methods in the stability problem for the $\mathfrak{so}(4)$ free
rigid body
   [PDF]

Petre Birtea, Ioan Casu
For the $\mathfrak{so}(4)$ free rigid body the stability problem for the isolated equilibria has been completely solved using Lie-theoretical and topological arguments. For each case of nonlinear stability previously found we construct a Lyapunov function. These Lyapunov functions are linear combinations of Mishchenko's constants of motion.
View original: http://arxiv.org/abs/1010.0295

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