The Intrinsic Properties of Rank and Nullity of the Lagrange Bracket in the One Dimensional Calculus of Variations

This paper establishes the existence of symplectic structure in degenerate variational problems, i.e. problems whose full development involves a hierarchy of equations of constraint as well as various equations of motion. Any variational problem, degenerate or otherwise, may be called regular if the...

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Veröffentlicht in:	Philosophical Transactions of the Royal Society of London, Series A: Mathematical and Physical Sciences Series A: Mathematical and Physical Sciences, 1975-09, Vol.279 (1290), p.487-545
1. Verfasser:	Allcock, G. R.
Format:	Artikel
Sprache:	eng
Schlagworte:	Commutators Coordinate systems Determinism Differentials Equations of motion Infinitesimals Lagrangian function Mathematical functions Mathematical manifolds Mathematical vectors
Online-Zugang:	Volltext
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