Closed form solution for p-curves in SO(4)

Linton, Carol and Holderbaum, William and Biggs, James (2012) Closed form solution for p-curves in SO(4). In: American Control Conference, 2012-06-27 - 2012-06-29.

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Abstract

This paper describes the solution for p-curves in SO(4) and gives its closed form. The rotational symmetry was exploited in order to simplify the algebra. The relationship between the Casimir invariant functions and Lax operator is provided, along with its use as part of a Lax pair. The double cover by SU(2) SU(2) enables two simpler problems to be found and integrated using Philip Hall coordinates and the solutions are then projected onto SO (4). The methodology is generic and can be applied to other problems.

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• Item metadata

  Item type:	Conference or Workshop Item(Paper)
  ID code:	37741
  Dates:	Date Event June 2012 Published
  Subjects:	Technology > Mechanical engineering and machinery Technology > Motor vehicles. Aeronautics. Astronautics
  Department:	Faculty of Engineering > Mechanical and Aerospace Engineering Technology and Innovation Centre > Advanced Engineering and Manufacturing
  Depositing user:	Pure Administrator
  Date deposited:	20 Feb 2012 12:25
  Last modified:	11 Nov 2024 16:33
  Related URLs:	Event
  URI:	https://strathprints.strath.ac.uk/id/eprint/37741