On the stability and integration of Hamilton-Poisson systems on so(3)*_

On the stability and integration of Hamilton-Poisson systems on so(3)*_

We consider inhomogeneous quadratic Hamilton-Poisson systems on the Lie-Poisson space so(3)*_. There are nine such systems up to affine equivalence. We investigate the stability nature of the equilibria for each of these systems. For a subclass of systems, we find explicit expressions for the inte...

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Bibliographic Details
Main Authors: R. M. Adams, R. Biggs, W. Holderbaum, C. C. Remsing
Format: Article
Language:English
Published: Sapienza Università Editrice 2016-01-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
hamilton-poisson system
lie-poisson structure
lyapunov stability
energy-casimir method
jacobi elliptic function
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2016(1-2)/1-42.pdf

Internet

https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2016(1-2)/1-42.pdf

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