Mathematics – Dynamical Systems
Scientific paper
2010-10-02
Mathematics
Dynamical Systems
Preprint of a paper accepted for publication in International Journal of Bifurcation and Chaos
Scientific paper
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.
Birtea Petre
Casu Ioan
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