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

León, Manuel de, and Martín de Diego, David. "Conservation laws and symmetry in economic growth models: a geometrical approach.." Extracta Mathematicae 13.3 (1998): 335-348. <http://eudml.org/doc/38574>.

@article{León1998,
abstract = {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)).},
author = {León, Manuel de, Martín de Diego, David},
journal = {Extracta Mathematicae},
keywords = {Sistemas mecánicos; Ecuaciones diferenciales; Ecuaciones de segundo orden; Crecimiento económico; Modelo geométrico; Sistema infinitesimal; Sistemas dinámicos; Lagrangian function; economic growth model; symplectic technique},
language = {eng},
number = {3},
pages = {335-348},
title = {Conservation laws and symmetry in economic growth models: a geometrical approach.},
url = {http://eudml.org/doc/38574},
volume = {13},
year = {1998},
}

TY - JOUR
AU - León, Manuel de
AU - Martín de Diego, David
TI - Conservation laws and symmetry in economic growth models: a geometrical approach.
JO - Extracta Mathematicae
PY - 1998
VL - 13
IS - 3
SP - 335
EP - 348
AB - 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)).
LA - eng
KW - Sistemas mecánicos; Ecuaciones diferenciales; Ecuaciones de segundo orden; Crecimiento económico; Modelo geométrico; Sistema infinitesimal; Sistemas dinámicos; Lagrangian function; economic growth model; symplectic technique
UR - http://eudml.org/doc/38574
ER -