Symmetries and differential equations. III. The inverse problem

Journal Article · Fri Aug 01 04:00:00 EDT 1980 · Hadronic J.; (United States)

OSTI ID:6444841

Gonzalez-Gascon, F

The nature of the inverse problem in relation to the symmetries of dynamical systems is clarified. Following techniques introduced in previous papers, the necessary and sufficient conditions in order that a Newtonian system of differential equations admit a given set of symmetry vectors, acting on the space-time of each of the points, are obtained. Some general consequences of these equations are developed. Several examples are worked out in order to make clear the nature of the problems to be faced in relation with the inverse problems, its difficulties and open points.

• Research Organization: Instituto de Estructura de la Materia CSIC (GIFT), Madrid, Spain
• OSTI ID: 6444841
• Journal Information: Hadronic J.; (United States), Journal Name: Hadronic J.; (United States) Vol. 3:5; ISSN HAJOD
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
658000 -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CLASSICAL MECHANICS
DIFFERENTIAL EQUATIONS
EQUATIONS
LIE GROUPS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
POINCARE GROUPS
SPACE-TIME
SYMMETRY
SYMMETRY GROUPS