Mathieu transformation

The Mathieu transformations make up a subgroup of canonical transformations preserving the differential form

The transformation is named after the French mathematician Émile Léonard Mathieu.

Details

In order to have this invariance, there should exist at least one relation between and only (without any involved).

where . When a Mathieu transformation becomes a Lagrange point transformation.

See also

References

  • Lanczos, Cornelius (1970). The Variational Principles of Mechanics. Toronto: University of Toronto Press. ISBN 0-8020-1743-6.
  • Whittaker, Edmund. A Treatise on the Analytical Dynamics of Particles and Rigid Bodies.


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