Advanced search
Start date
(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On the birth of limit cycles for non-smooth dynamical systems

Full text
Llibre, Jaume [1] ; Novaes, Douglas D. [1, 2] ; Teixeira, Marco A. [2]
Total Authors: 3
[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia - Spain
[2] Univ Estadual Campinas, Dept Matemat, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: BULLETIN DES SCIENCES MATHEMATIQUES; v. 139, n. 3, p. 229-244, MAY 2015.
Web of Science Citations: 28

The main objective of this work is to develop, via Brower degree theory and regularization theory, a variation of the classical averaging method for detecting limit cycles of certain piecewise continuous dynamical systems. In fact, overall results are presented to ensure the existence of limit cycles of such systems These results may represent new insights in averaging, in particular its relation with non-smooth dynamical systems theory. An application is presented in careful detail. (C) 2014 Elsevier Masson SAS. All rights reserved. (AU)

FAPESP's process: 12/18780-0 - Geometry of control systems, dynamical and stochastics systems
Grantee:Marco Antônio Teixeira
Support type: Research Projects - Thematic Grants
FAPESP's process: 13/16492-0 - Averaging Theory for studying the periodic solutions of the differential systems and its applications
Grantee:Douglas Duarte Novaes
Support type: Scholarships abroad - Research Internship - Doctorate