Structure preserving transformations for Newtonian Lie-admissible equations
Recently, a new formulation of non-conservative mechanics has been presented in terms of Hamilton-admissible equations which constitute a generalization of the conventional Hamilton equations. The algebraic structure entering the Hamilton-admissible description of a non-conservative system is that of a Lie-admissible algebra. The corresponding geometrical treatment is related to the existence of a so-called symplectic-admissible form. The transformation theory for Hamilton-admissible systems is currently investigated. The purpose of this paper is to describe one aspect of this theory by identifying the class of transformations which preserve the structure of Hamilton-admissible equations. Necessary and sufficient conditions are established for a transformation to be structure preserving. Some particular cases are discussed and an example is worked out.
- Research Organization:
- Rijksuniversiteit, Gent, Belgium
- OSTI ID:
- 6519948
- Journal Information:
- Hadronic J.; (United States), Vol. 2:2
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
GENERAL PHYSICS
HAMILTONIAN FUNCTION
TRANSFORMATIONS
CLASSICAL MECHANICS
EQUATIONS OF MOTION
LIE GROUPS
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
SYMMETRY GROUPS
657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics