Conservation laws and symmetry in economic growth models: a geometrical approach.

Título inglés	Conservation laws and symmetry in economic growth models: a geometrical approach.
Título español	Leyes de conservación y simetría en modelos de crecimiento económico: una aproximación geométrica.
Autor/es	León, Manuel de ; Martín de Diego, David
Organización	Inst. Mat. Fís. Fund. [CSIC], Madrid, España;Dep. Econ. Apl. Mat. Fac. Cien. Econ. Empres. Univ. Valladolid, Valladolid, España
Revista	0213-8743
Publicación	1998, 13 (3): 335-348, 20 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	The aim of the present paper is twofold. On one hand, we present a classification of infinitesimal symmetries for Lagrangian systems, and the corresponding Noether theorems. The derivation of the result is made by using the symplectic techniques. Some of the results were previously obtained by other authors (see Prince (1985) for instance), and an exhaustive presentation can be found in de León and Martín de Diego (1995, 1996). Let us note that these results are true even if the Lagrangian function is singular, which is usually the case in economic models. On the other hand, we apply our methods to derive some well-known conservation laws, in particular the income-wealth conservation law obtained by Weitzman (1976) and the Samuelson's first law (see Samuelson (1970)).
Clasificación UNESCO	120212
Palabras clave español	Sistemas mecánicos ; Ecuaciones diferenciales ; Ecuaciones de segundo orden ; Crecimiento económico ; Modelo geométrico ; Sistema infinitesimal ; Sistemas dinámicos
Código MathReviews	MR1695572
Código Z-Math	Zbl 0994.37048
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