# Energy Methods in the stability Problem for the 픰픬(4) Free Rigid Body

@article{Birtea2013EnergyMI, title={Energy Methods in the stability Problem for the 픰픬(4) Free Rigid Body}, author={Petre Birtea and Ioan Casu}, journal={I. J. Bifurcation and Chaos}, year={2013}, volume={23} }

For the 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.

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##### Publications citing this paper.

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## Stability of relative equilibria of multidimensional rigid body

VIEW 6 EXCERPTS

CITES RESULTS, BACKGROUND & METHODS

HIGHLY INFLUENCED

## Stability in bihamiltonian systems and multidimensional rigid body

VIEW 1 EXCERPT

CITES BACKGROUND

#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 23 REFERENCES

## Stability of equilibria for the so(4) free rigid body”, accepted for publication in Journal of Nonlinear Science, http://arxiv.org/abs/0812.3415

VIEW 10 EXCERPTS

HIGHLY INFLUENTIAL

## Stability of equilibria for the so ( 4 ) free rigid body ” , accepted for publication in

## Equivalence of energy methods in stability theory

VIEW 1 EXCERPT

## Integrable Hamiltonian Systems, Chapmann

VIEW 1 EXCERPT