Gyroscopic stabilization of non-conservative systems

Oleg Kirillov

doi:10.1016/j.physleta.2006.06.040

Gyroscopic stabilization of non-conservative systems

Oleg Kirillov

Mathematics, Physics and Electrical Engineering

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

27 Citations (Scopus)

Abstract

Gyroscopic stabilization of a linear conservative system, which is statically unstable, can be either improved or destroyed by weak damping and circulatory forces. This is governed by Whitney umbrella singularity of the boundary of the asymptotic stability domain of the perturbed system.

Original language	English
Pages (from-to)	204-210
Journal	Physics Letters A
Volume	359
Issue number	3
Early online date	23 Jun 2006
DOIs	https://doi.org/10.1016/j.physleta.2006.06.040
Publication status	Published - 20 Nov 2006

Keywords

Gyroscopic stabilization
non-conservative perturbationn multiple eigenvaluen
stability boundary
singularity

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10.1016/j.physleta.2006.06.040

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title = "Gyroscopic stabilization of non-conservative systems",

abstract = "Gyroscopic stabilization of a linear conservative system, which is statically unstable, can be either improved or destroyed by weak damping and circulatory forces. This is governed by Whitney umbrella singularity of the boundary of the asymptotic stability domain of the perturbed system.",

keywords = "Gyroscopic stabilization, non-conservative perturbationn multiple eigenvaluen, stability boundary, singularity",

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year = "2006",

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AB - Gyroscopic stabilization of a linear conservative system, which is statically unstable, can be either improved or destroyed by weak damping and circulatory forces. This is governed by Whitney umbrella singularity of the boundary of the asymptotic stability domain of the perturbed system.

KW - Gyroscopic stabilization

KW - non-conservative perturbationn multiple eigenvaluen

KW - stability boundary

KW - singularity

U2 - 10.1016/j.physleta.2006.06.040

DO - 10.1016/j.physleta.2006.06.040

M3 - Article

VL - 359

SP - 204

EP - 210

JO - Physics Letters A

JF - Physics Letters A

IS - 3

ER -

Gyroscopic stabilization of non-conservative systems

Abstract

Keywords

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