Stability of relative equilibria of multidimensional rigid body

Anton Izosimov

doi:10.1088/0951-7715/27/6/1419

Stability of relative equilibria of multidimensional rigid body

Anton Izosimov

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

It is a classical result of Euler that the rotation of a torque-free three-dimensional rigid body about the short or the long axis is stable, whereas the rotation about the middle axis is unstable. This result is generalized to the case of a multidimensional body.

Original language	English (US)
Pages (from-to)	1419-1443
Number of pages	25
Journal	Nonlinearity
Volume	27
Issue number	6
DOIs	https://doi.org/10.1088/0951-7715/27/6/1419
State	Published - Jun 2014
Externally published	Yes

Keywords

bi-Hamiltonian structures
free rigid body
multidimensional rigid body
stability

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy
Applied Mathematics

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10.1088/0951-7715/27/6/1419

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title = "Stability of relative equilibria of multidimensional rigid body",

abstract = "It is a classical result of Euler that the rotation of a torque-free three-dimensional rigid body about the short or the long axis is stable, whereas the rotation about the middle axis is unstable. This result is generalized to the case of a multidimensional body.",

keywords = "bi-Hamiltonian structures, free rigid body, multidimensional rigid body, stability",

author = "Anton Izosimov",

year = "2014",

month = jun,

doi = "10.1088/0951-7715/27/6/1419",

language = "English (US)",

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AB - It is a classical result of Euler that the rotation of a torque-free three-dimensional rigid body about the short or the long axis is stable, whereas the rotation about the middle axis is unstable. This result is generalized to the case of a multidimensional body.

KW - bi-Hamiltonian structures

KW - free rigid body

KW - multidimensional rigid body

KW - stability

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SP - 1419

EP - 1443

JO - Nonlinearity

JF - Nonlinearity

IS - 6

ER -

Stability of relative equilibria of multidimensional rigid body

Abstract

Keywords

ASJC Scopus subject areas

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