Analytical Mechanics pp 523-584 | Cite as

# Canonical equations and Jacobi’s theorem

Chapter

## Abstract

Let us consider a continuous function Φ ( is carried out by means of function Φ referred to as the

*x*_{i},...,*x*_{ n }) of variables*x*_{l},...,*x*_{ n }which has continuous derivatives of the first and second order with respect to all variables. The transformation from the “old” variables*x*_{l},...,*x*_{ n }to the “new” ones$$ y_s = \frac{{\partial \Phi }}
{{\partial x_s }}(s = 1,...,n).$$

(10.1.1)

*generating function*.## Keywords

Poisson Bracket Canonical Variable Hamiltonian Function Canonical Transformation Support Point
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© Springer-Verlag Berlin Heidelberg 2002