Stability transitions for axisymmetric relative equilibria of Euclidean symmetric Hamiltonian systems
Patrick, GW, Roberts, M and Wulff, C (2008) Stability transitions for axisymmetric relative equilibria of Euclidean symmetric Hamiltonian systems NONLINEARITY, 21 (2). 325 - 352. ISSN 0951-7715
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Available under License : See the attached licence file.
Official URL: http://dx.doi.org/10.1088/0951-7715/21/2/008
In the presence of noncompact symmetry, the stability of relative equilibria under momentum-preserving perturbations does not generally imply robust stability under momentum-changing perturbations. For axisymmetric relative equilibria of Hamiltonian systems with Euclidean symmetry, we investigate different mechanisms of stability: stability by energy–momentum confinement, KAM, and Nekhoroshev stability, and we explain the transitions between them. We apply our results to the Kirchhoff model for the motion of an axisymmetric underwater vehicle, and we numerically study dissipation induced instability of KAM stable relative equilibria for this system.
|Additional Information:||Copyright 2008 Institute of Physics. This is the author's accepted manuscript.|
|Uncontrolled Keywords:||Science & Technology, Physical Sciences, Mathematics, Applied, Physics, Mathematical, Mathematics, Physics, UNDERWATER VEHICLE, DISSIPATION|
|Divisions:||Faculty of Engineering and Physical Sciences > Mathematics|
|Deposited By:||Mr Adam Field|
|Deposited On:||28 Jun 2012 10:08|
|Last Modified:||16 Feb 2013 15:27|
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