Generic profit singularities in time averaged optimization for phase transitions in polydynamical systems

• Tipo: Artigo em Revista Científica Internacional
• Data: 2015

Autores

Davydov, AA (Autor) Outra; Mena Matos, H (Autor) FCUP; Moreira, CS (Autor) Outra

Revista

Título: Journal of Mathematical Analysis and Applications

Vol. 424

Páginas: 704-726

ISSN: 0022-247X

Editora: Elsevier

Indexação

ISI Web of Knowledge - 1 Citação

Scopus - 1 Citação

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: P-00A-2Z9

DOI: 10.1016/j.jmaa.2014.11.039

Abstract (EN): We consider the optimization problem that consists in maximizing the time averaged profit for a motion of a smooth polydynamical system on the circle in the presence of a smooth profit density. When the problem depends on a k-dimensional parameter the optimal averaged profit is a function of the parameter. It is known that an optimal motion can always be selected among stationary strategies and a special type of periodic cyclic motions called level cycles. We present the classification of all generic singularities of the optimal averaged profit when k <= 2 for phase transitions between these two optimal strategies.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 23