| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [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
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| Document type: | Journal article |
| Source: | BULLETIN DES SCIENCES MATHEMATIQUES; v. 139, n. 3, p. 229-244, MAY 2015. |
| Web of Science Citations: | 28 |
| Abstract | |
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 Opportunities: | 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 Opportunities: | Scholarships abroad - Research Internship - Doctorate |