### Abstract

A family of special cases of the integrable Euler equations on so(n) introduced by Manakov in 1976 is considered. The equilibrium points are found and their stability is studied. Heteroclinic orbits are constructed that connect unstable equilibria and are given by the orbits of certain 1-parameter subgroups of SO(n). The results are complete in the case n = 4 and incomplete for n > 4.

Original language | English |
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Pages (from-to) | 304-317 |

Number of pages | 14 |

Journal | Journal of Nonlinear Mathematical Physics |

Volume | 10 |

Issue number | 3 |

Publication status | Published - 2003 |

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### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics

### Cite this

*Journal of Nonlinear Mathematical Physics*,

*10*(3), 304-317.

**Stability analysis of some integrable Euler equations for SO(n).** / Fehér, L.; Marshall, I.

Research output: Contribution to journal › Article

*Journal of Nonlinear Mathematical Physics*, vol. 10, no. 3, pp. 304-317.

}

TY - JOUR

T1 - Stability analysis of some integrable Euler equations for SO(n)

AU - Fehér, L.

AU - Marshall, I.

PY - 2003

Y1 - 2003

N2 - A family of special cases of the integrable Euler equations on so(n) introduced by Manakov in 1976 is considered. The equilibrium points are found and their stability is studied. Heteroclinic orbits are constructed that connect unstable equilibria and are given by the orbits of certain 1-parameter subgroups of SO(n). The results are complete in the case n = 4 and incomplete for n > 4.

AB - A family of special cases of the integrable Euler equations on so(n) introduced by Manakov in 1976 is considered. The equilibrium points are found and their stability is studied. Heteroclinic orbits are constructed that connect unstable equilibria and are given by the orbits of certain 1-parameter subgroups of SO(n). The results are complete in the case n = 4 and incomplete for n > 4.

UR - http://www.scopus.com/inward/record.url?scp=0042524642&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0042524642&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0042524642

VL - 10

SP - 304

EP - 317

JO - Journal of Nonlinear Mathematical Physics

JF - Journal of Nonlinear Mathematical Physics

SN - 1402-9251

IS - 3

ER -