Generic phase transitions and profit singularities in Arnold's model

• Tipo: Artigo em Revista Científica Internacional
• Data: 2007

Autores

Davydov, AA (Autor) Outra; Mena M Matos (Autor) FCUP

Revista

Título: Sbornik Mathematics

Vol. 198

Páginas: 17-37

ISSN: 1064-5616

Editora: Turpion Ltd

Indexação

ISI Web of Knowledge - 10 Citações

Scopus - 12 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-004-EK0

DOI: 10.1070/sm2007v198n01abeh003827

Abstract (EN): For a smooth one-parameter family of pairs of control systems and profit densities on a circle, the generic transitions between optimal rotations and stationary strategies are studied in the problem of maximization of the time-averaged profit on the infinite horizon. It is shown that there are only two types of such transitions, the corresponding singularities of the average profit as a function of the family parameter are found, and it is proved that these singularities are stable under small perturbations of a generic family. The classification of singularities of the maximum average profit is completed for generic families.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 21