Singularities of the Hamiltonian vectorfield in nonautonomous variational problems

• Tipo: Artigo em Revista Científica Internacional
• Data: 2003

Autores

Mena Matos, H (Autor) FCUP

Revista

Título: Journal of Mathematical Analysis and Applications

Vol. 283

Páginas: 610-632

ISSN: 0022-247X

Editora: Elsevier

Indexação

ISI Web of Knowledge - 0 Citações

Scopus - 0 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-000-FWK

DOI: 10.1016/s0022-247x(03)00303-2

Abstract (EN): Variational problems with n degrees of freedom give rise (by Pontriaguine maximum principle) to a Hamiltonian vectorfield in T*R-n, that presents singularities (nonsmoothness points) when the Lagrangian is not convex. For one degree of freedom nonautonomous problems of the calculus of variations where the Hamiltonian vectorfield in T*R depends explicitly on the time, we consider the associated autonomous vectorfield in T*R x R and classify its singularities up to an equivalence that takes into account the special role played by the time coordinate, i.e., that respects the foliation of T*R x R into planes of constant time.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 23