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

• Type: Article in International Scientific Journal
• Date: 2015

Authors

Davydov, AA (Author) Other; Mena Matos, H (Author) FCUP; Moreira, CS (Author) Other

Journal

Title: Journal of Mathematical Analysis and Applications

Vol. 424

Pages: 704-726

ISSN: 0022-247X

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 1 Citation

Scopus - 1 Citation

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 23